# How do you solve 0.5x+63=2x-42?

Nov 10, 2017

First, make the decimal into fraction
$\frac{5}{10} x + 63 = 2 x - 42$
Transfer all the variables to one side and all the numbers to the other
$\frac{5}{10} x - 2 x = - 63 - 42$
Remember,
$2 = \frac{2}{1} , \frac{4}{2} , \frac{6}{3} , \frac{8}{4} , \frac{10}{5.} \ldots \ldots \frac{20}{10}$
So, we can write it as
$\frac{5 x - 20 x}{10} = - 105$
$- \frac{15 x}{10} = - 105$
Multiply both sides by 10
$\frac{- 15 x}{\cancel{10}} \cancel{10} = - 105 \times 10$
$\cancel{-} 15 x = \cancel{-} 1050$
$15 x = 1050$
$x = \frac{1050}{15}$
$x = 70$