Solve A=3/2(-2x+2/3)

$$A = \frac { 3 } { 2 } ( - 2 x + \frac { 2 } { 3 } )$$

Solve for x

$$x=\frac{1-A}{3}$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{3}{2} by -2x+\frac{2}{3}.

$$A=-3x+1$$

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

$$-3x+1=A$$

Subtract 1 from both sides.

$$-3x=A-1$$

Divide both sides by -3.

$$\frac{-3x}{-3}=\frac{A-1}{-3}$$

Dividing by -3 undoes the multiplication by -3.

$$x=\frac{A-1}{-3}$$

Divide A-1 by -3.

$$x=\frac{1-A}{3}$$

Solve for A

$$A=1-3x$$

Solution Steps

Use the distributive property to multiply \frac{3}{2} by -2x+\frac{2}{3}.

$$A=-3x+1$$