Question

Solve each of the following equation and also check your result in each case:
0.18(5x − 4) = 0.5x + 0.8

Answer 1

$$\begin{gathered} 0.18(5\mathrm{x}-4)=0.5\mathrm{x}+0.8 \\ \mathrm{or}0.9\mathrm{x}-0.72=0.5\mathrm{x}+0.8 \\ \mathrm{or}0.9\mathrm{x}-0.5\mathrm{x}=0.8+0.72 \\ \mathrm{or}0.4\mathrm{x}=1.52 \\ \mathrm{or}\mathrm{x}=\frac{1.52}{0.4} \\ \text{or}\mathrm{x}=3.8 \\ \mathrm{Thus},\mathrm{x}=3.8\mathrm{is}\mathrm{the}\mathrm{solution}\mathrm{of}\mathrm{the}\mathrm{given}\mathrm{equation}. \\ \mathrm{Check}: \\ \mathrm{Substituting}\mathrm{x}=3.8\mathrm{in}\mathrm{the}\mathrm{given}\mathrm{equation},\mathrm{we}\mathrm{get}: \\ \mathrm{L}.\mathrm{H}.\mathrm{S}.=0.18(5\times 3.8-4)=0.18\times 15=2.7 \\ \mathrm{R}.\mathrm{H}.\mathrm{S}.=0.5\times 3.8+0.8=2.7 \\ \therefore \mathrm{L}.\mathrm{H}.\mathrm{S}.=\mathrm{R}.\mathrm{H}.\mathrm{S}.\mathrm{for}\mathrm{x}=3.8. \end{gathered}$$