Solve -12(x-8)=3(x+17)

$$- 12 ( x - 8 ) = 3 ( x + 17 )$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Use the distributive property to multiply -12 by x-8.

$$-12x+96=3\left(x+17\right)$$

Use the distributive property to multiply 3 by x+17.

$$-12x+96=3x+51$$

Subtract 3x from both sides.

$$-12x+96-3x=51$$

Combine -12x and -3x to get -15x.

$$-15x+96=51$$

Subtract 96 from both sides.

$$-15x=51-96$$

Subtract 96 from 51 to get -45.

$$-15x=-45$$

Divide both sides by -15.

$$x=\frac{-45}{-15}$$

Divide -45 by -15 to get 3.

$$x=3$$