Solve for x -13(5)+(-7/8x)=-79

$- 13 (5) + (- \frac{7}{8} x) = - 79$

Step 1

Simplify each term.

Multiply $- 13$ by $5$ .

$- 65 - \frac{7}{8} x = - 79$

Combine $x$ and $\frac{7}{8}$ .

$- 65 - \frac{x \cdot 7}{8} = - 79$

Move $7$ to the left of $x$ .

$- 65 - \frac{7 x}{8} = - 79$

Step 2

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

Add $65$ to both sides of the equation.

$- \frac{7 x}{8} = - 79 + 65$

Add $- 79$ and $65$ .

$- \frac{7 x}{8} = - 14$

Step 3

Multiply both sides of the equation by $- \frac{8}{7}$ .

$- \frac{8}{7} (- \frac{7 x}{8}) = - \frac{8}{7} \cdot - 14$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Simplify $- \frac{8}{7} (- \frac{7 x}{8})$ .

Cancel the common factor of $8$ .

Move the leading negative in $- \frac{8}{7}$ into the numerator.

$\frac{- 8}{7} (- \frac{7 x}{8}) = - \frac{8}{7} \cdot - 14$

Move the leading negative in $- \frac{7 x}{8}$ into the numerator.

$\frac{- 8}{7} \cdot \frac{- 7 x}{8} = - \frac{8}{7} \cdot - 14$

Factor $8$ out of $- 8$ .

$\frac{8 (- 1)}{7} \cdot \frac{- 7 x}{8} = - \frac{8}{7} \cdot - 14$

Cancel the common factor.

$\frac{8 \cdot - 1}{7} \cdot \frac{- 7 x}{8} = - \frac{8}{7} \cdot - 14$

Rewrite the expression.

$\frac{- 1}{7} (- 7 x) = - \frac{8}{7} \cdot - 14$

Cancel the common factor of $7$ .

Factor $7$ out of $- 7 x$ .

$\frac{- 1}{7} (7 (- x)) = - \frac{8}{7} \cdot - 14$

Cancel the common factor.

$\frac{- 1}{7} (7 (- x)) = - \frac{8}{7} \cdot - 14$

Rewrite the expression.

$- - x = - \frac{8}{7} \cdot - 14$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 x = - \frac{8}{7} \cdot - 14$

Multiply $x$ by $1$ .

$x = - \frac{8}{7} \cdot - 14$

Simplify the right side.

Simplify $- \frac{8}{7} \cdot - 14$ .

Cancel the common factor of $7$ .

Move the leading negative in $- \frac{8}{7}$ into the numerator.

$x = \frac{- 8}{7} \cdot - 14$

Factor $7$ out of $- 14$ .

$x = \frac{- 8}{7} \cdot (7 (- 2))$

Cancel the common factor.

$x = \frac{- 8}{7} \cdot (7 \cdot - 2)$

Rewrite the expression.

$x = - 8 \cdot - 2$

Multiply $- 8$ by $- 2$ .

$x = 16$

Solve for x -13(5)+(-7/8x)=-79

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