# How do you solve 100=1.5x+55?

Dec 28, 2016

$\textcolor{c \mathmr{and} a l}{\text{x = 30}}$

#### Explanation:

$\textcolor{b l u e}{\text{Subtract 55 on both sides:}}$

$100 = 1.5 x + 55$
$- \cancel{55}$ $\textcolor{w h i t e}{a a a a a} - 55$

55 cancels out on the right side, and when you subtract 55 from 100 on the left you get 45:

$45 = 1.5 x$

$\textcolor{p u r p \le}{\text{Divide both sides 1.5 to get x by itself.}}$

$\frac{45}{1.5} = \frac{\cancel{\text{1.5}} x}{\cancel{1.5}}$

Now you are just left with $x$ on the right side and 30 on the left side.

Thus,
$\textcolor{red}{\text{x = 30}}$