How do you solve 2x+6/3 = x - 1/5?

Mar 8, 2016

$- \frac{11}{5}$

Explanation:

$2 x + \frac{6}{3} = x - \frac{1}{5}$

Subtract $x$ both sides

$\rightarrow \cancel{2 x} + \frac{6}{3} - \cancel{x} = \cancel{x} - \frac{1}{5} - \cancel{x}$

$\rightarrow x + \frac{6}{3} = - \frac{1}{5}$

Subtract $\frac{6}{3}$ both sides

$\rightarrow x + \cancel{\frac{6}{3}} - \cancel{\frac{6}{3}} = - \frac{1}{5} - \frac{6}{3}$

$\rightarrow x = - \frac{1}{5} - \frac{6}{3}$

$\Rightarrow x = - \frac{1}{5} - 2 = - \frac{11}{5}$