Question

The value of $x$, in the following expression
3$x$ - 6 = $\frac{3}{5}x$ - $\frac{6}{5}$ is .

• A. 2
• B. 3
• C. $\frac{3}{2}$

Answer 1

The correct option is A 2

Given expression is 3$x$ - 6 = $\frac{3}{5}x$ - $\frac{6}{5}$

Add 6 on both sides,

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

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

$\Rightarrow$ 3$x$ - $\frac{3}{5}x$ = 6 - $\frac{6}{5}$

Taking LCM on both sides,

$\frac{15x-3x}{5}$ = $\frac{30-6}{5}$

$\Rightarrow$ 12$x$ = 24

$\Rightarrow$ $x$ = 2