Solve for x (5(x-8))/6=-7

$\frac{5 (x - 8)}{6} = - 7$

Step 1

Multiply both sides of the equation by $\frac{6}{5}$ .

$\frac{6}{5} \cdot \frac{5 (x - 8)}{6} = \frac{6}{5} \cdot - 7$

Step 2

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{6}{5} \cdot \frac{5 (x - 8)}{6}$ .

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6}{5} \cdot \frac{5 (x - 8)}{6} = \frac{6}{5} \cdot - 7$

Rewrite the expression.

$\frac{1}{5} (5 (x - 8)) = \frac{6}{5} \cdot - 7$

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{1}{5} (5 (x - 8)) = \frac{6}{5} \cdot - 7$

Rewrite the expression.

$x - 8 = \frac{6}{5} \cdot - 7$

Simplify the right side.

Simplify $\frac{6}{5} \cdot - 7$ .

Multiply $\frac{6}{5} \cdot - 7$ .

Combine $\frac{6}{5}$ and $- 7$ .

$x - 8 = \frac{6 \cdot - 7}{5}$

Multiply $6$ by $- 7$ .

$x - 8 = \frac{- 42}{5}$

Move the negative in front of the fraction.

$x - 8 = - \frac{42}{5}$

Step 3

Move all terms not containing $x$ to the right side of the equation.

Add $8$ to both sides of the equation.

$x = - \frac{42}{5} + 8$

To write $8$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$x = - \frac{42}{5} + 8 \cdot \frac{5}{5}$

Combine $8$ and $\frac{5}{5}$ .

$x = - \frac{42}{5} + \frac{8 \cdot 5}{5}$

Combine the numerators over the common denominator.

$x = \frac{- 42 + 8 \cdot 5}{5}$

Simplify the numerator.

Multiply $8$ by $5$ .

$x = \frac{- 42 + 40}{5}$

Add $- 42$ and $40$ .

$x = \frac{- 2}{5}$

Move the negative in front of the fraction.

$x = - \frac{2}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{2}{5}$

Decimal Form:

$x = - 0.4$

Solve for x (5(x-8))/6=-7

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