Solve 3/2=3a-1

$$\frac { 3 } { 2 } = 3 a - 1$$

Solve for a

$$a=\frac{5}{6}\approx 0.833333333$$

Steps for Solving Linear Equation

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

$$3a-1=\frac{3}{2}$$

Add 1 to both sides.

$$3a=\frac{3}{2}+1$$

Convert 1 to fraction \frac{2}{2}.

$$3a=\frac{3}{2}+\frac{2}{2}$$

Since \frac{3}{2} and \frac{2}{2} have the same denominator, add them by adding their numerators.

$$3a=\frac{3+2}{2}$$

Add 3 and 2 to get 5.

$$3a=\frac{5}{2}$$

Divide both sides by 3.

$$a=\frac{\frac{5}{2}}{3}$$

Express \frac{\frac{5}{2}}{3} as a single fraction.

$$a=\frac{5}{2\times 3}$$

Multiply 2 and 3 to get 6.

$$a=\frac{5}{6}$$