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

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

Solve for x

$$x=10$$

Steps for Solving Linear Equation

Use the distributive property to multiply -8 by 8-x.

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

Use the distributive property to multiply \frac{4}{5} by x+10.

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

Express \frac{4}{5}\times 10 as a single fraction.

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

Multiply 4 and 10 to get 40.

$$-64+8x=\frac{4}{5}x+\frac{40}{5}$$

Divide 40 by 5 to get 8.

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

Subtract \frac{4}{5}x from both sides.

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

Combine 8x and -\frac{4}{5}x to get \frac{36}{5}x.

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

Add 64 to both sides.

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

Add 8 and 64 to get 72.

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

Multiply both sides by \frac{5}{36}, the reciprocal of \frac{36}{5}.

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

Express 72\times \frac{5}{36} as a single fraction.

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

Multiply 72 and 5 to get 360.

$$x=\frac{360}{36}$$

Divide 360 by 36 to get 10.

$$x=10$$