Solve the following equation and check your answer:

$\dfrac{x}{3}+\dfrac{x}{4} = 14$

We have:

$\phantom{=} \dfrac{x}{3}+\dfrac{x}{4} = 14 \\[1em] \Rightarrow \dfrac{4x + 3x}{12} = 14 \\[1em] \Rightarrow 4x + 3x = 14 \times 12 \\[1em] \Rightarrow 7x = 168 \\[1em] \Rightarrow x = \dfrac{168}{7}$

∴ x = 24

Check:

LHS = $\dfrac{x}{3} + \dfrac{x}{4}$

= $\dfrac{24}{3} + \dfrac{24}{4}$

= 8 + 6 = 14

RHS = 14

Hence, LHS = RHS.