On simplifying the equation$\frac{(2\mathrm{x}-3)}{(2\mathrm{x}+2)}= \frac{1}{6}$ we get x =?

Given equation is $\frac{(2\mathrm{x}-3)}{(2\mathrm{x}+2)}= \frac{1}{6}$

We can simplify this equation by cross multiplication

$\Rightarrow 6(2\mathrm{x}-3)=1(2\mathrm{x}+2)$

$\Rightarrow 12\mathrm{x}-18=2\mathrm{x}+2$

$\Rightarrow 12\mathrm{x}-2\mathrm{x}=2+18$

$\Rightarrow 10\mathrm{x}=20$

$\Rightarrow \mathrm{x}=2$