# How do you solve 2x+3+x+5=11?

Jun 14, 2017

$x = 1$

#### Explanation:

$\text{collect terms in x on the left side of the equation and }$
$\text{numeric values on the right side}$

$\Rightarrow 3 x + 8 = 11 \leftarrow \text{ collecting like terms on left side}$

$\text{subtract 8 from both sides}$

$3 x \cancel{+ 8} \cancel{- 8} = 11 - 8$

$\Rightarrow 3 x = 3$

$\text{divide both sides by 3}$

$\frac{\cancel{3} x}{\cancel{3}} = \frac{3}{3}$

$\Rightarrow x = 1$

$\textcolor{b l u e}{\text{As a check}}$

Substitute this value into the left side and if equal to the right side then it is the solution.

$\left(2 \times 1\right) + 3 + 1 + 5 = 2 + 3 + 1 + 5 = 11 = \text{ right side}$

$\Rightarrow x = 1 \text{ is the solution}$