# The sum of two angles, 2x+10 and 3x+15 is 110 degrees. What is the value of x?

Mar 7, 2018

$x = 19$

#### Explanation:

Solution:

$2 x + 10 + 3 x + 15 = 110$

Collect the like terms together by adding unknown on the right-hand side of the equal sign and taking the known on the left-hand side,

Doing so the known changes their signs from positive to negative that is;

$2 x + 3 x = 110 - 10 - 15$

$5 x = 95$

Divide both sides by $5$, that is

$\frac{5 x}{5} = \frac{95}{5}$

Therefore,

$x = 19$