Solve 1/4(36x-16)=5x-8

$$\frac{ 1 }{ 4 } (36x-16)=5x-8$$

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{4} by 36x-16.

$$\frac{1}{4}\times 36x+\frac{1}{4}\left(-16\right)=5x-8$$

Multiply \frac{1}{4} and 36 to get \frac{36}{4}.

$$\frac{36}{4}x+\frac{1}{4}\left(-16\right)=5x-8$$

Divide 36 by 4 to get 9.

$$9x+\frac{1}{4}\left(-16\right)=5x-8$$

Multiply \frac{1}{4} and -16 to get \frac{-16}{4}.

$$9x+\frac{-16}{4}=5x-8$$

Divide -16 by 4 to get -4.

$$9x-4=5x-8$$

Subtract 5x from both sides.

$$9x-4-5x=-8$$

Combine 9x and -5x to get 4x.

$$4x-4=-8$$

Add 4 to both sides.

$$4x=-8+4$$

Add -8 and 4 to get -4.

$$4x=-4$$

Divide both sides by 4.

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

Divide -4 by 4 to get -1.

$$x=-1$$