Question
Solve: $5x + \frac{7}{2}=\frac{2}{2}x -14$
✓
Answer
$5x + \frac{7}{2}=\frac{3}{2}x -14$
Multiplying both sides of the equation by $2,$ we get
$2 \times\left(5 x+\frac{7}{2}\right)=2 \times\left(\frac{3}{2} x-14\right)$
$(2 \times 5 x)+\left(2 \times \frac{7}{2}\right)=\left(2 \times \frac{3}{2} x\right)-(2 \times 14)$
$10x + 7 = 3x - 28$
$10x – 3x = -28 - 7$
$7x = -35$
$x = \frac{-35}{7}$
$x = -5$
Multiplying both sides of the equation by $2,$ we get
$2 \times\left(5 x+\frac{7}{2}\right)=2 \times\left(\frac{3}{2} x-14\right)$
$(2 \times 5 x)+\left(2 \times \frac{7}{2}\right)=\left(2 \times \frac{3}{2} x\right)-(2 \times 14)$
$10x + 7 = 3x - 28$
$10x – 3x = -28 - 7$
$7x = -35$
$x = \frac{-35}{7}$
$x = -5$
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