# How do you solve 3x + 5 = 2 ( x + 7 )?

Mar 10, 2018

Work backwards to solve for x

#### Explanation:

To find something that is lost work backwards to find what is lost.

The order of operations backwards is PESADM

Think about like this. " if you lose something in PE you are a SAD M(an)(am)

First remove parenthesis and exponents ( PE) then remove addition and subtraction by doing the opposite. (SA) Then remove multiplication and division by doing the opposite.

First remove parenthesis

$2 \left(x + 7\right) = 2 x + 14$ so

$3 x + 5 = 2 x + 14$ Remove the +5 by adding the opposite -5

$3 x + 5 - 5 = 2 x + 14 - 5$ This gives

$3 x = 2 x + 9$ Remove the 2x by adding the opposite -2x

$3 x - 2 x = 2 x - 2 x + 9$ This gives

$x = 9$