Solve the following equation and check your answer:

$\dfrac{5}{8}x - 6 = 9$

We have:

$\phantom{=} \Rightarrow \dfrac{5}{8}x - 6 = 9 \\[1em] \Rightarrow \dfrac{5}{8}x = 9 + 6 \quad\text{[Transposing -6 to RHS]} \\[1em] \Rightarrow \dfrac{5}{8}x = 15 \\[1em] \Rightarrow x = 15 \times \dfrac{8}{5} \\[1em] \Rightarrow x = 3 \times \dfrac{8}{1}$

∴ x = 24

Check:

LHS = $\dfrac{5}{8}x$ - 6

= $\dfrac{5}{8}$ × 24 - 6

= 15 - 6

= 9

RHS = 9

Hence, LHS = RHS.