Question

$\frac{x-4}{2}-\frac{x-10}{4}=7$. Solve the equation and verify your answer.

Answer 1

Given: $\frac{x-4}{2}-\frac{x-10}{4}=7$

$\Rightarrow \frac{2\times (x-4)}{4}-\frac{x-10}{4}=7$

$\Rightarrow \frac{2x-8-x+10}{4}=7$

$\Rightarrow x+2=28$

$\therefore x=28-2=26$

Verification:

LHS: $\frac{x-4}{2}-\frac{x-10}{4}$

$=\frac{26-4}{2}-\frac{26-10}{4}$

$=\frac{22}{2}-\frac{16}{4}$

$=11-4$

$=7$

Hence, verified.