Question

Solve each of the following equations and check your answers:
$14=\frac{7x}{10}-8$

Answer 1

$14=$$\frac{7\text{x}}{10}$ - 8
Adding 8 to both sides, we get
⇒ 14 + 8 = $\frac{7x}{10}$ − 8 + 8
⇒ 22 = $\frac{7x}{10}$
Multiplying both sides by 10, we get
⇒ 22 $\times 10$ = $\frac{7x}{10}$$\times 10$
⇒ 220 = 7x
Dividing both sides by 7, we get
⇒ $\frac{220}{7}=\frac{7x}{7}$
⇒ x = $\frac{220}{7}$
Verification:

Substituting x = $\frac{220}{7}$ in RHS, we get
LHS =$$ 14, and RHS = $\frac{7\left({\displaystyle \frac{220}{7}}\right)}{10}-8$ = $\frac{220}{10}-8=22-8=14$
LHS = RHS
Hence, verified.