Solve the following equation and check your answer:

0.6x - 1.9 = 0.2x + 0.5

We have:

0.6x - 1.9 = 0.2x + 0.5

⇒ 0.6x - 0.2x = 0.5 + 1.9 $\quad$[Transposing -1.9 to RHS and +0.2x to LHS]

⇒ 0.4x = 2.4

⇒ $x = \dfrac{2.4}{0.4}$

∴ x = 6

Check:

LHS = 0.6x - 1.9

= 0.6 × 6 - 1.9

= 3.6 - 1.9

= 1.7

RHS = 0.2x + 0.5

= 0.2 × 6 + 0.5

= 1.2 + 0.5

= 1.7

Hence, LHS = RHS.