# Question #9a533

Jan 26, 2018

$x = - 14$

#### Explanation:

$\text{isolate the x term by adding 10 to both sides }$

$- 4 x \cancel{- 10} \cancel{+ 10} = 46 + 10$

$\Rightarrow - 4 x = 56$

$\text{divide both sides by } - 4$

$\frac{\cancel{- 4} x}{\cancel{- 4}} = \frac{56}{- 4}$

$\Rightarrow x = - 14$

Jan 26, 2018

$x = - 14$

#### Explanation:

Add $10$ on both sides

$- 4 x = 56$

Divide both sides by $- 4$

$x = - 14$

Jan 26, 2018

x = -14

#### Explanation:

To solve for x work backwards. When you can't find something always work backwards, where did I last have it. PEMDAS backwards is PESADM

In solving a problem remove parenthesis and exponents first, Then do subtraction and additions using the opposite sign as in the problem. Then do division and multiplication and again using the opposite function.

Think of it like this (PESADM) If you lose something in PE ( you forget it in your locker) you are a sad m(an)

In this problem there are no parenthesis or exponents so go to the next step subtraction and addition.

The opposite of -10 is + 10 so

$- 4 x - 10 + 10 = 46 + 10$ This gives

$- 4 x = 56$

The opposite of multiplying is dividing so divide by -4

$- 4 \frac{x}{-} 4 = \frac{56}{-} 4$ This results in

$x = - 14$