Question

Solve:$\frac{6x-2}{9}+\frac{3x+5}{18}=\frac{1}{3}$

Answer 1

$\frac{6x-2}{9}+\frac{3x+5}{18}=\frac{1}{3}$

$\Rightarrow \frac{2(6x-2)}{18}+\frac{3x+5}{18}=\frac{1}{3}$

$\Rightarrow \frac{12x-4}{18}+\frac{3x+5}{18}=\frac{1}{3}$

$\Rightarrow \frac{12x-4+3x+5}{18}=\frac{1}{3}$

$\Rightarrow \frac{15x+1}{18}=\frac{1}{3}$

$\Rightarrow 45x+3=18$

$\Rightarrow 45x=18-3=15$

$\Rightarrow x=\frac{15}{45}=\frac{1}{3}$

$\therefore x=\frac{1}{3}$