Solve 5/6x - 3 - (2/3x 12)

Question

Simplify the expression

- \frac{43}{6} x - 3

Evaluate

\frac{5}{6} x - 3 - (\frac{2}{3} x \times 12)

Multiply the terms

More Steps

Multiply the terms

\frac{2}{3} x \times 12

Multiply the terms

More Steps

Evaluate

\frac{2}{3} \times 12

Reduce the numbers

2 \times 4

Multiply the numbers

8

8 x

\frac{5}{6} x - 3 - 8 x

Solution

More Steps

Evaluate

\frac{5}{6} x - 8 x

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

(\frac{5}{6} - 8) x

Subtract the numbers

More Steps

Evaluate

\frac{5}{6} - 8

Reduce fractions to a common denominator

\frac{5}{6} - \frac{8 \times 6}{6}

Write all numerators above the common denominator

\frac{5 - 8 \times 6}{6}

Multiply the numbers

\frac{5 - 48}{6}

Subtract the numbers

\frac{- 43}{6}

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

- \frac{43}{6}

- \frac{43}{6} x

- \frac{43}{6} x - 3

Show Solution

Factor the expression

- \frac{1}{6} (43 x + 18)

Evaluate

\frac{5}{6} x - 3 - (\frac{2}{3} x \times 12)

Multiply the terms

More Steps

Multiply the terms

\frac{2}{3} x \times 12

Multiply the terms

More Steps

Evaluate

\frac{2}{3} \times 12

Reduce the numbers

2 \times 4

Multiply the numbers

8

8 x

\frac{5}{6} x - 3 - 8 x

Subtract the terms

More Steps

Evaluate

\frac{5}{6} x - 8 x

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

(\frac{5}{6} - 8) x

Subtract the numbers

More Steps

Evaluate

\frac{5}{6} - 8

Reduce fractions to a common denominator

\frac{5}{6} - \frac{8 \times 6}{6}

Write all numerators above the common denominator

\frac{5 - 8 \times 6}{6}

Multiply the numbers

\frac{5 - 48}{6}

Subtract the numbers

\frac{- 43}{6}

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

- \frac{43}{6}

- \frac{43}{6} x

- \frac{43}{6} x - 3

Solution

- \frac{1}{6} (43 x + 18)

Show Solution

Find the roots

x = - \frac{18}{43}

Alternative Form

x \approx - 0.418605

Evaluate

\frac{5}{6} x - 3 - (\frac{2}{3} x \times 12)

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

\frac{5}{6} x - 3 - (\frac{2}{3} x \times 12) = 0

Multiply the terms

More Steps

Multiply the terms

\frac{2}{3} x \times 12

Multiply the terms

More Steps

Evaluate

\frac{2}{3} \times 12

Reduce the numbers

2 \times 4

Multiply the numbers

8

8 x

\frac{5}{6} x - 3 - 8 x = 0

Subtract the terms

More Steps

Simplify

\frac{5}{6} x - 3 - 8 x

Subtract the terms

More Steps

Evaluate

\frac{5}{6} x - 8 x

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

(\frac{5}{6} - 8) x

Subtract the numbers

- \frac{43}{6} x

- \frac{43}{6} x - 3

- \frac{43}{6} x - 3 = 0

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

- \frac{43}{6} x = 0 + 3

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

- \frac{43}{6} x = 3

Change the signs on both sides of the equation

\frac{43}{6} x = - 3

Multiply by the reciprocal

\frac{43}{6} x \times \frac{6}{43} = - 3 \times \frac{6}{43}

Multiply

x = - 3 \times \frac{6}{43}

Solution

More Steps

Evaluate

- 3 \times \frac{6}{43}

Multiply the numbers

- \frac{3 \times 6}{43}

Multiply the numbers

- \frac{18}{43}

x = - \frac{18}{43}

Alternative Form

x \approx - 0.418605

Show Solution