Evaluate 2a+3b=5

$2 a + 3 b = 5$

Subtract $3 b$ from both sides of the equation.

$2 a = 5 - 3 b$

Divide each term in $2 a = 5 - 3 b$ by $2$ and simplify.

Divide each term in $2 a = 5 - 3 b$ by $2$ .

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $a$ by $1$ .

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

Simplify the right side.

Move the negative in front of the fraction.

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