Solve 1/2(4x-8)+3x=36

$$\frac { 1 } { 2 } ( 4 x - 8 ) + 3 x = 36$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{2} by 4x-8.

$$\frac{1}{2}\times 4x+\frac{1}{2}\left(-8\right)+3x=36$$

Multiply \frac{1}{2} and 4 to get \frac{4}{2}.

$$\frac{4}{2}x+\frac{1}{2}\left(-8\right)+3x=36$$

Divide 4 by 2 to get 2.

$$2x+\frac{1}{2}\left(-8\right)+3x=36$$

Multiply \frac{1}{2} and -8 to get \frac{-8}{2}.

$$2x+\frac{-8}{2}+3x=36$$

Divide -8 by 2 to get -4.

$$2x-4+3x=36$$

Combine 2x and 3x to get 5x.

$$5x-4=36$$

Add 4 to both sides.

$$5x=36+4$$

Add 36 and 4 to get 40.

$$5x=40$$

Divide both sides by 5.

$$x=\frac{40}{5}$$

Divide 40 by 5 to get 8.

$$x=8$$