# How do you solve 5x + 2= 3( x + 6)?

Mar 2, 2018

$x = 8$

#### Explanation:

Remember PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).
The first thing you should do is distribute. After that try to put the variables on the same side, and the other numbers on the other.

$5 x + 2 = 3 \left(x + 6\right)$

$5 x + 2 = 3 x + 18 \text{ }$Distribute first.

$5 x + 2 - 3 x = 3 x + 18 - 3 x \text{ }$Suntract both sides by $3 x$

$2 x + 2 = 18$

$2 x + 2 - 2 = 18 - 2 \text{ }$ Subtract $2$ from both sides.

$2 x = 16$

$\frac{2 x}{2} = \frac{16}{2} \text{ }$ Divide both sides by $2$

$x = 8$