Solve y=(2x-5)4

$$y = ( 2 x - 5 ) 4$$

Solve for x

$$x=\frac{y+20}{8}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2x-5 by 4.

$$y=8x-20$$

Swap sides so that all variable terms are on the left hand side.

$$8x-20=y$$

Add 20 to both sides.

$$8x=y+20$$

Divide both sides by 8.

$$\frac{8x}{8}=\frac{y+20}{8}$$

Dividing by 8 undoes the multiplication by 8.

$$x=\frac{y+20}{8}$$

Divide y+20 by 8.

$$x=\frac{y}{8}+\frac{5}{2}$$

Solve for y

$$y=8x-20$$

Solution Steps

Use the distributive property to multiply 2x-5 by 4.

$$y=8x-20$$