Question
Solve the following equation and also check your result in case:
$0.18(5\text{x}-4)=0.5\text{x}+0.8$
$0.18(5\text{x}-4)=0.5\text{x}+0.8$
✓
Answer
$0.18\Big(5\text{x}-4\Big)=0.5\text{x}+0.8$
$0.9\text{x}-0.72=0.5\text{x}+0.8$
$0.9\text{x}-0.5\text{x}=0.8+0.72$
$0.4\text{x}=1.52$
$51\text{x}=504-45$
$\text{x}=\frac{159}{51}=9$
Thus, $\text{x}=3.8$ is the solution of the given equation.
Check:Substituting $\text{x}=3.8$ in the given equation, we get:
$\text{L.H.S.}=0.18\Big(5\times3.8-4\Big)=0.18\times15=2.7$
$\text{R.H.S.}=0.5\times3.8+0.8=2.7$
$\therefore\text{L.H.S.}=\text{R.H.S.}\text{ for x}=3.8$
$0.9\text{x}-0.72=0.5\text{x}+0.8$
$0.9\text{x}-0.5\text{x}=0.8+0.72$
$0.4\text{x}=1.52$
$51\text{x}=504-45$
$\text{x}=\frac{159}{51}=9$
Thus, $\text{x}=3.8$ is the solution of the given equation.
Check:Substituting $\text{x}=3.8$ in the given equation, we get:
$\text{L.H.S.}=0.18\Big(5\times3.8-4\Big)=0.18\times15=2.7$
$\text{R.H.S.}=0.5\times3.8+0.8=2.7$
$\therefore\text{L.H.S.}=\text{R.H.S.}\text{ for x}=3.8$
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