Solve (-5)/2 ( (-9)/5 x-4) 1=-x

Question

Solve the equation

x = - \frac{20}{11}

Alternative Form

x = - 1. \dot{8} \dot{1}

Evaluate

\frac{- 5}{2} (\frac{- 9}{5} x - 4) \times 1 = - x

Simplify

More Steps

Evaluate

\frac{- 5}{2} (\frac{- 9}{5} x - 4) \times 1

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

\frac{- 5}{2} (- \frac{9}{5} x - 4) \times 1

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

- \frac{5}{2} (- \frac{9}{5} x - 4) \times 1

Rewrite the expression

- \frac{5}{2} (- \frac{9}{5} x - 4)

Apply the distributive property

- \frac{5}{2} (- \frac{9}{5} x) - (- \frac{5}{2} \times 4)

Multiply the numbers

More Steps

Evaluate

- \frac{5}{2} (- \frac{9}{5})

Multiplying or dividing an even number of negative terms equals a positive

\frac{5}{2} \times \frac{9}{5}

Reduce the numbers

\frac{1}{2} \times 9

Multiply the numbers

\frac{9}{2}

\frac{9}{2} x - (- \frac{5}{2} \times 4)

Multiply the numbers

More Steps

Evaluate

- \frac{5}{2} \times 4

Reduce the numbers

- 5 \times 2

Multiply the numbers

- 10

\frac{9}{2} x - (- 10)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

\frac{9}{2} x + 10

\frac{9}{2} x + 10 = - x

Move the variable to the left side

\frac{9}{2} x + 10 + x = 0

Add the terms

More Steps

Evaluate

\frac{9}{2} x + x

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

(\frac{9}{2} + 1) x

Add the numbers

More Steps

Evaluate

\frac{9}{2} + 1

Reduce fractions to a common denominator

\frac{9}{2} + \frac{2}{2}

Write all numerators above the common denominator

\frac{9 + 2}{2}

Add the numbers

\frac{11}{2}

\frac{11}{2} x

\frac{11}{2} x + 10 = 0

Move the constant to the right side

\frac{11}{2} x = 0 - 10

Removing 0 doesn't change the value,so remove it from the expression

\frac{11}{2} x = - 10

Multiply by the reciprocal

\frac{11}{2} x \times \frac{2}{11} = - 10 \times \frac{2}{11}

Multiply

x = - 10 \times \frac{2}{11}

Solution

More Steps

Evaluate

- 10 \times \frac{2}{11}

Multiply the numbers

- \frac{10 \times 2}{11}

Multiply the numbers

- \frac{20}{11}

x = - \frac{20}{11}

Alternative Form

x = - 1. \dot{8} \dot{1}

Show Solution

Rewrite the equation

11 x = - 20

Evaluate

\frac{- 5}{2} (\frac{- 9}{5} x - 4) \times 1 = - x

Evaluate

More Steps

Evaluate

\frac{- 5}{2} (\frac{- 9}{5} x - 4) \times 1

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

\frac{- 5}{2} (- \frac{9}{5} x - 4) \times 1

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

- \frac{5}{2} (- \frac{9}{5} x - 4) \times 1

Rewrite the expression

- \frac{5}{2} (- \frac{9}{5} x - 4)

Apply the distributive property

- \frac{5}{2} (- \frac{9}{5} x) - (- \frac{5}{2} \times 4)

Multiply the numbers

More Steps

Evaluate

- \frac{5}{2} (- \frac{9}{5})

Multiplying or dividing an even number of negative terms equals a positive

\frac{5}{2} \times \frac{9}{5}

Reduce the numbers

\frac{1}{2} \times 9

Multiply the numbers

\frac{9}{2}

\frac{9}{2} x - (- \frac{5}{2} \times 4)

Multiply the numbers

More Steps

Evaluate

- \frac{5}{2} \times 4

Reduce the numbers

- 5 \times 2

Multiply the numbers

- 10

\frac{9}{2} x - (- 10)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

\frac{9}{2} x + 10

\frac{9}{2} x + 10 = - x

Multiply both sides of the equation by LCD

9 x + 20 = - 2 x

Move the variable to the left side

11 x + 20 = 0

Solution

11 x = - 20

Show Solution

Solve the equation

Rewrite the equation

Graph