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

\[0 . 18(5x - 4) = 0 . 5x + 0 . 8\]
\[\text{ or }0 . 9x - 0 . 72 = 0 . 5x + 0 . 8\]
\[\text{ or }0 . 9x - 0 . 5x = 0 . 8 + 0 . 72\]
\[\text{ or }0 . 4x = 1 . 52\]
\[\text{ or }x = \frac{1 . 52}{0 . 4}\]
\[\text{ or }x = 3 . 8\]
\[\text{ Thus, }x = 3 . 8 \text{ is the solution of the given equation .} \]
\[\text{ Check: }\]
\[\text{ Substituting }x = 3 . 8\text{ in the given equation, we get: }\]
\[\text{ L . H . S . }= 0 . 18(5 \times 3 . 8 - 4) = 0 . 18 \times 15 = 2 . 7\]
\[\text{ R . H . S . }= 0 . 5 \times 3 . 8 + 0 . 8 = 2 . 7\]
\[ \therefore\text{ L . H . S . = R . H . S . for }x = 3 . 8 .\]