Solve 4(x+3)=2(x+6)-8

$$4 ( x + 3 ) = 2 ( x + 6 ) - 8$$

Solve for x

$$x=-4$$

Steps for Solving Linear Equation

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

$$4x+12=2\left(x+6\right)-8$$

Use the distributive property to multiply 2 by x+6.

$$4x+12=2x+12-8$$

Subtract 8 from 12 to get 4.

$$4x+12=2x+4$$

Subtract 2x from both sides.

$$4x+12-2x=4$$

Combine 4x and -2x to get 2x.

$$2x+12=4$$

Subtract 12 from both sides.

$$2x=4-12$$

Subtract 12 from 4 to get -8.

$$2x=-8$$

Divide both sides by 2.

$$x=\frac{-8}{2}$$

Divide -8 by 2 to get -4.

$$x=-4$$