Solve 3+2/3-1=1+a/3-2

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

Solve for a

$$a = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

Steps for Solving Linear Equation

Add 3 and 2 to get 5.

$$\frac{5}{3-1}=1+\frac{a}{3-2}$$

Subtract 1 from 3 to get 2.

$$\frac{5}{2}=1+\frac{a}{3-2}$$

Subtract 2 from 3 to get 1.

$$\frac{5}{2}=1+\frac{a}{1}$$

Anything divided by one gives itself.

$$\frac{5}{2}=1+a$$

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

$$1+a=\frac{5}{2}$$

Subtract 1 from both sides.

$$a=\frac{5}{2}-1$$

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

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

Since \frac{5}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 2 from 5 to get 3.

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