# How do you solve 4a - 5 = 2a - 3?

Oct 20, 2016

$a = 1$

#### Explanation:

collect terms in a on the left side of the equation and numeric values on the right side.

subtract 2a from both sides.

$4 a - 2 a - 5 = \cancel{2 a} \cancel{- 2 a} - 3$

$\Rightarrow 2 a - 5 = - 3$

$2 a \cancel{- 5} \cancel{+ 5} = - 3 + 5$
$\Rightarrow 2 a = 2$
$\frac{\cancel{2} a}{\cancel{2}} = \frac{2}{2}$
$\Rightarrow a = 1 \text{ is the solution}$