# How do you solve 3x+14=38-5x?

Oct 8, 2016

$x = 3$

#### Explanation:

Collect the terms in x to the left side of the equation and numeric values to the right side.

$3 x + 5 x + 14 = 38 \cancel{- 5 x} \cancel{+ 5 x}$

$\Rightarrow 8 x + 14 = 38$

subtract 14 from both sides.

$8 x \cancel{+ 14} \cancel{- 14} = 38 - 14$

$\Rightarrow 8 x = 24$

To solve for x, divide both sides by 8.

$\frac{\cancel{8} x}{\cancel{8}} = \frac{24}{8}$

$\Rightarrow x = 3 \text{ is the solution}$