Question
Solve: $0.5\text{x}+\frac{\text{x}}{3}=0.25\text{x}+7$
✓
Answer
We have:
$0.5\text{x}+\frac{\text{x}}{3}=0.25\text{x}+7$
$\Rightarrow\frac{1.5\text{x}+\text{x}}{3}=0.25\text{x}+7$
$\Rightarrow1.5\text{x}+\text{x}=3(0.25\text{x}+7)$
$\Rightarrow2.5\text{x}=0.75\text{x}+21$
$\Rightarrow2.5\text{x}-0.75\text{x}=21$
$\Rightarrow1.75\text{x}=21$
$\Rightarrow\text{x}=\frac{21}{1.75}$
$\Rightarrow\text{x}=12$
$0.5\text{x}+\frac{\text{x}}{3}=0.25\text{x}+7$
$\Rightarrow\frac{1.5\text{x}+\text{x}}{3}=0.25\text{x}+7$
$\Rightarrow1.5\text{x}+\text{x}=3(0.25\text{x}+7)$
$\Rightarrow2.5\text{x}=0.75\text{x}+21$
$\Rightarrow2.5\text{x}-0.75\text{x}=21$
$\Rightarrow1.75\text{x}=21$
$\Rightarrow\text{x}=\frac{21}{1.75}$
$\Rightarrow\text{x}=12$
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