How do you solve (3x-5)/2=4x?

Nov 4, 2016

#x=-1

Explanation:

Given
$\textcolor{w h i t e}{\text{XXX}} \frac{3 x - 5}{2} = 4 x$

Multiply both sides by $2$ to get rid of the fraction
$\textcolor{w h i t e}{\text{XXX}} 3 x - 5 = 8 x$

Subtract $3 x$ from both sides
$\textcolor{w h i t e}{\text{XXX}} - 5 = 5 x$

Divide both sides by $5$
$\textcolor{w h i t e}{\text{XXX")-1=xcolor(white)("XX")"or (equivalently)"color(white)("XX}} x = - 1$