How do you solve 5/3x-4/3x-1=8?

Apr 22, 2018

$x = 27$

Explanation:

Given: $\frac{5}{3} x - \frac{4}{3} x - 1 = 8$

Combine like-terms.

$\implies \frac{1}{3} x - 1 = 8$

Add $1$ to both sides.

$\implies \frac{1}{3} x - \textcolor{red}{\cancel{\textcolor{b l a c k}{1}}} + \textcolor{red}{\cancel{\textcolor{b l a c k}{1}}} = 8 + 1$

$\implies \frac{1}{3} x = 9$

Multiply by $3$ on both sides to find $x$.

$\implies \frac{1}{\textcolor{red}{\cancel{\textcolor{b l a c k}{3}}}} x \cdot \textcolor{red}{\cancel{\textcolor{b l a c k}{3}}} = 9 \cdot 3$

$\implies x = 27$