Question

1. $\frac{1}{2}x - 5 = 10-\frac{3}{4}x$

Explanation:

Step1: Add $\frac{3}{4}x$ to both sides

$\frac{1}{2}x+\frac{3}{4}x - 5=10$

Step2: Add 5 to both sides

$\frac{1}{2}x+\frac{3}{4}x=10 + 5$

Step3: Find a common - denominator for $x$ terms

$\frac{2}{4}x+\frac{3}{4}x=15$
$\frac{2x + 3x}{4}=15$
$\frac{5x}{4}=15$

Step4: Multiply both sides by $\frac{4}{5}$

$x=15\times\frac{4}{5}$
$x = 12$

Answer:

$x = 12$