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

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

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 12 by x+4.

$$12x+48=8\left(x+8\right)-4$$

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

$$12x+48=8x+64-4$$

Subtract 4 from 64 to get 60.

$$12x+48=8x+60$$

Subtract 8x from both sides.

$$12x+48-8x=60$$

Combine 12x and -8x to get 4x.

$$4x+48=60$$

Subtract 48 from both sides.

$$4x=60-48$$

Subtract 48 from 60 to get 12.

$$4x=12$$

Divide both sides by 4.

$$x=\frac{12}{4}$$

Divide 12 by 4 to get 3.

$$x=3$$