Question

Solve the following equation and also check your result:
\[\frac{2x + 5}{3} = 3x - 10\]

Answer 1

\[\frac{2x + 5}{3} = 3x - 10\]
\[\text{ or }2x + 5 = 9x - 30\]
\[\text{ or }9x - 2x = 5 + 30\]
\[\text{ or }7x = 35\]
\[\text{ or }x = \frac{35}{7}\]
\[\text{ or }x = 5\]
\[\text{ Verification: }\]
\[\text{ L . H . S . }= \frac{10 + 5}{3} = \frac{15}{3} = 5\]
\[\text{ R . H . S . }= 15 - 10 = 5\]
\[ \therefore\text{ L . H . S . = R . H . S . for }x = 5 .\]