Solve for x -8(8-x)=4/5(x+10)

$- 8 (8 - x) = \frac{4}{5} (x + 10)$

Simplify $- 8 (8 - x)$ .

Start simplifying.

$0 + 0 - 8 (8 - x) = \frac{4}{5} \cdot (x + 10)$

Simplify by adding zeros.

$- 8 (8 - x) = \frac{4}{5} \cdot (x + 10)$

Apply the distributive property.

$- 8 \cdot 8 - 8 (- x) = \frac{4}{5} \cdot (x + 10)$

Multiply.

Multiply $- 8$ by $8$ .

$- 64 - 8 (- x) = \frac{4}{5} \cdot (x + 10)$

Multiply $- 1$ by $- 8$ .

$- 64 + 8 x = \frac{4}{5} \cdot (x + 10)$

Simplify $\frac{4}{5} \cdot (x + 10)$ .

Apply the distributive property.

$- 64 + 8 x = \frac{4}{5} x + \frac{4}{5} \cdot 10$

Combine $\frac{4}{5}$ and $x$ .

$- 64 + 8 x = \frac{4 x}{5} + \frac{4}{5} \cdot 10$

Cancel the common factor of $5$ .

Factor $5$ out of $10$ .

$- 64 + 8 x = \frac{4 x}{5} + \frac{4}{5} \cdot (5 (2))$

Cancel the common factor.

$- 64 + 8 x = \frac{4 x}{5} + \frac{4}{5} \cdot (5 \cdot 2)$

Rewrite the expression.

$- 64 + 8 x = \frac{4 x}{5} + 4 \cdot 2$

Multiply $4$ by $2$ .

$- 64 + 8 x = \frac{4 x}{5} + 8$

Move all terms containing $x$ to the left side of the equation.

Subtract $\frac{4 x}{5}$ from both sides of the equation.

$- 64 + 8 x - \frac{4 x}{5} = 8$

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

$- 64 + 8 x \cdot \frac{5}{5} - \frac{4 x}{5} = 8$

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

$- 64 + \frac{8 x \cdot 5}{5} - \frac{4 x}{5} = 8$

Combine the numerators over the common denominator.

$- 64 + \frac{8 x \cdot 5 - 4 x}{5} = 8$

Simplify the numerator.

Factor $4 x$ out of $8 x \cdot 5 - 4 x$ .

Factor $4 x$ out of $8 x \cdot 5$ .

$- 64 + \frac{4 x (2 \cdot 5) - 4 x}{5} = 8$

Factor $4 x$ out of $- 4 x$ .

$- 64 + \frac{4 x (2 \cdot 5) + 4 x (- 1)}{5} = 8$

Factor $4 x$ out of $4 x (2 \cdot 5) + 4 x (- 1)$ .

$- 64 + \frac{4 x (2 \cdot 5 - 1)}{5} = 8$

Multiply $2$ by $5$ .

$- 64 + \frac{4 x (10 - 1)}{5} = 8$

Subtract $1$ from $10$ .

$- 64 + \frac{4 x \cdot 9}{5} = 8$

Multiply $9$ by $4$ .

$- 64 + \frac{36 x}{5} = 8$

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

Add $64$ to both sides of the equation.

$\frac{36 x}{5} = 8 + 64$

Add $8$ and $64$ .

$\frac{36 x}{5} = 72$

Multiply both sides of the equation by $\frac{5}{36}$ .

$\frac{5}{36} \cdot \frac{36 x}{5} = \frac{5}{36} \cdot 72$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{5}{36} \cdot \frac{36 x}{5}$ .

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5}{36} \cdot \frac{36 x}{5} = \frac{5}{36} \cdot 72$

Rewrite the expression.

$\frac{1}{36} (36 x) = \frac{5}{36} \cdot 72$

Cancel the common factor of $36$ .

Factor $36$ out of $36 x$ .

$\frac{1}{36} (36 (x)) = \frac{5}{36} \cdot 72$

Cancel the common factor.

$\frac{1}{36} (36 x) = \frac{5}{36} \cdot 72$

Rewrite the expression.

$x = \frac{5}{36} \cdot 72$

Simplify the right side.

Simplify $\frac{5}{36} \cdot 72$ .

Cancel the common factor of $36$ .

Factor $36$ out of $72$ .

$x = \frac{5}{36} \cdot (36 (2))$

Cancel the common factor.

$x = \frac{5}{36} \cdot (36 \cdot 2)$

Rewrite the expression.

$x = 5 \cdot 2$

Multiply $5$ by $2$ .

$x = 10$

Solve for x -8(8-x)=4/5(x+10)

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