Question

Solve each of the following equation and also check your result in each case:
$\frac{2x+5}{3}=3x-10$

Answer 1

$$\begin{gathered} \frac{2\mathrm{x}+5}{3}=3\mathrm{x}-10 \\ \mathrm{or}2\mathrm{x}+5=9\mathrm{x}-30 \\ \mathrm{or}9\mathrm{x}-2\mathrm{x}=5+30 \\ \mathrm{or}7\mathrm{x}=35 \\ \mathrm{or}\mathrm{x}=\frac{35}{7} \\ \mathrm{or}\mathrm{x}=5 \\ \mathrm{Verification}: \\ \mathrm{L}.\mathrm{H}.\mathrm{S}.=\frac{10+5}{3}=\frac{15}{3}=5 \\ \mathrm{R}.\mathrm{H}.\mathrm{S}.=15-10=5 \\ \therefore \mathrm{L}.\mathrm{H}.\mathrm{S}.=\mathrm{R}.\mathrm{H}.\mathrm{S}.\mathrm{for}\mathrm{x}=5. \end{gathered}$$