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

$$\frac { x } { 3 } - ( x - 8 ) = x - ( x + 12 )$$

Solve for x

$$x=30$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$x-3\left(x-8\right)=3x-3\left(x+12\right)$$

Use the distributive property to multiply -3 by x-8.

$$x-3x+24=3x-3\left(x+12\right)$$

Combine x and -3x to get -2x.

$$-2x+24=3x-3\left(x+12\right)$$

Use the distributive property to multiply -3 by x+12.

$$-2x+24=3x-3x-36$$

Combine 3x and -3x to get 0.

$$-2x+24=-36$$

Subtract 24 from both sides.

$$-2x=-36-24$$

Subtract 24 from -36 to get -60.

$$-2x=-60$$

Divide both sides by -2.

$$x=\frac{-60}{-2}$$

Divide -60 by -2 to get 30.

$$x=30$$