Solve x-4/5 - 9- 2x-41/9

Question

Simplify the expression

- x - \frac{646}{45}

Evaluate

x - \frac{4}{5} - 9 - 2 x - \frac{41}{9}

Subtract the terms

More Steps

Evaluate

x - 2 x

Collect like terms by calculating the sum or difference of their coefficients

(1 - 2) x

Subtract the numbers

- x

- x - \frac{4}{5} - 9 - \frac{41}{9}

Solution

More Steps

Calculate

- \frac{4}{5} - 9 - \frac{41}{9}

Reduce fractions to a common denominator

- \frac{4 \times 9}{5 \times 9} - \frac{9 \times 5 \times 9}{5 \times 9} - \frac{41 \times 5}{9 \times 5}

Multiply the numbers

- \frac{4 \times 9}{45} - \frac{9 \times 5 \times 9}{5 \times 9} - \frac{41 \times 5}{9 \times 5}

Multiply the numbers

- \frac{4 \times 9}{45} - \frac{9 \times 5 \times 9}{45} - \frac{41 \times 5}{9 \times 5}

Multiply the numbers

- \frac{4 \times 9}{45} - \frac{9 \times 5 \times 9}{45} - \frac{41 \times 5}{45}

Write all numerators above the common denominator

\frac{- 4 \times 9 - 9 \times 5 \times 9 - 41 \times 5}{45}

Multiply the numbers

\frac{- 36 - 9 \times 5 \times 9 - 41 \times 5}{45}

Multiply the terms

More Steps

Evaluate

9 \times 5 \times 9

Multiply the terms

45 \times 9

Multiply the numbers

405

\frac{- 36 - 405 - 41 \times 5}{45}

Multiply the numbers

\frac{- 36 - 405 - 205}{45}

Subtract the numbers

\frac{- 646}{45}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{646}{45}

- x - \frac{646}{45}

Show Solution

Factor the expression

- \frac{1}{45} (45 x + 646)

Evaluate

x - \frac{4}{5} - 9 - 2 x - \frac{41}{9}

Subtract the numbers

More Steps

Simplify

x - \frac{4}{5} - 9

Subtract the numbers

More Steps

Evaluate

- \frac{4}{5} - 9

Reduce fractions to a common denominator

- \frac{4}{5} - \frac{9 \times 5}{5}

Write all numerators above the common denominator

\frac{- 4 - 9 \times 5}{5}

Multiply the numbers

\frac{- 4 - 45}{5}

Subtract the numbers

\frac{- 49}{5}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{49}{5}

x - \frac{49}{5}

x - \frac{49}{5} - 2 x - \frac{41}{9}

Subtract the terms

More Steps

Simplify

x - \frac{49}{5} - 2 x

Subtract the terms

More Steps

Evaluate

x - 2 x

Collect like terms by calculating the sum or difference of their coefficients

(1 - 2) x

Subtract the numbers

- x

- x - \frac{49}{5}

- x - \frac{49}{5} - \frac{41}{9}

Subtract the numbers

More Steps

Evaluate

- \frac{49}{5} - \frac{41}{9}

Reduce fractions to a common denominator

- \frac{49 \times 9}{5 \times 9} - \frac{41 \times 5}{9 \times 5}

Multiply the numbers

- \frac{49 \times 9}{45} - \frac{41 \times 5}{9 \times 5}

Multiply the numbers

- \frac{49 \times 9}{45} - \frac{41 \times 5}{45}

Write all numerators above the common denominator

\frac{- 49 \times 9 - 41 \times 5}{45}

Multiply the numbers

\frac{- 441 - 41 \times 5}{45}

Multiply the numbers

\frac{- 441 - 205}{45}

Subtract the numbers

\frac{- 646}{45}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{646}{45}

- x - \frac{646}{45}

Solution

- \frac{1}{45} (45 x + 646)

Show Solution

Find the roots

x = - \frac{646}{45}

Alternative Form

x = - 14.3 \dot{5}

Evaluate

x - \frac{4}{5} - 9 - 2 x - \frac{41}{9}

To find the roots of the expression,set the expression equal to 0

x - \frac{4}{5} - 9 - 2 x - \frac{41}{9} = 0

Subtract the numbers

More Steps

Simplify

x - \frac{4}{5} - 9

Subtract the numbers

More Steps

Evaluate

- \frac{4}{5} - 9

Reduce fractions to a common denominator

- \frac{4}{5} - \frac{9 \times 5}{5}

Write all numerators above the common denominator

\frac{- 4 - 9 \times 5}{5}

Multiply the numbers

\frac{- 4 - 45}{5}

Subtract the numbers

\frac{- 49}{5}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{49}{5}

x - \frac{49}{5}

x - \frac{49}{5} - 2 x - \frac{41}{9} = 0

Subtract the terms

More Steps

Simplify

x - \frac{49}{5} - 2 x

Subtract the terms

More Steps

Evaluate

x - 2 x

Collect like terms by calculating the sum or difference of their coefficients

(1 - 2) x

Subtract the numbers

- x

- x - \frac{49}{5}

- x - \frac{49}{5} - \frac{41}{9} = 0

Subtract the numbers

More Steps

Simplify

- x - \frac{49}{5} - \frac{41}{9}

Subtract the numbers

More Steps

Evaluate

- \frac{49}{5} - \frac{41}{9}

Reduce fractions to a common denominator

- \frac{49 \times 9}{5 \times 9} - \frac{41 \times 5}{9 \times 5}

Multiply the numbers

- \frac{49 \times 9}{45} - \frac{41 \times 5}{9 \times 5}

Multiply the numbers

- \frac{49 \times 9}{45} - \frac{41 \times 5}{45}

Write all numerators above the common denominator

\frac{- 49 \times 9 - 41 \times 5}{45}

Multiply the numbers

\frac{- 441 - 41 \times 5}{45}

Multiply the numbers

\frac{- 441 - 205}{45}

Subtract the numbers

\frac{- 646}{45}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{646}{45}

- x - \frac{646}{45}

- x - \frac{646}{45} = 0

Move the constant to the right-hand side and change its sign

- x = 0 + \frac{646}{45}

Add the terms

- x = \frac{646}{45}

Solution

x = - \frac{646}{45}

Alternative Form

x = - 14.3 \dot{5}

Show Solution