Solve 3(x-4)-(8-x)=12

$$3(x-4)-(8-x)=12$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x-4.

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

To find the opposite of 8-x, find the opposite of each term.

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

The opposite of -x is x.

$$3x-12-8+x=12$$

Subtract 8 from -12 to get -20.

$$3x-20+x=12$$

Combine 3x and x to get 4x.

$$4x-20=12$$

Add 20 to both sides.

$$4x=12+20$$

Add 12 and 20 to get 32.

$$4x=32$$

Divide both sides by 4.

$$x=\frac{32}{4}$$

Divide 32 by 4 to get 8.

$$x=8$$