# How do you solve 2 + 5x < 37?

Jul 28, 2015

Subtract 2 from both sides, then divide both sides by 5 to obtain $x < 7$

#### Explanation:

$2 + 5 x < 37$ (Initial form)

$2 + 5 x - 2 < 37 - 2$ (Subtract 2 from both sides to isolate $5 x$ on one side of the inequality)

$5 x < 35$ (Result of subtraction)

$\frac{5 x}{5} < \frac{35}{5}$ (Divide both sides by 5)

(Note: If instead we were dividing by a negative number, then the direction of the inequality would flip. Here we are dividing by a positive, though, so that won't occur)

$x < 7$ (Result of division)