solve for x: 1/2 x + 3/4 x = 1/2

Explanation:

Step1: Combine like - terms

$\frac{1}{2}x+\frac{3}{4}x=\frac{2 + 3}{4}x=\frac{5}{4}x$ So the equation becomes $\frac{5}{4}x=\frac{1}{2}$

Step2: Solve for x

$x=\frac{1}{2}\div\frac{5}{4}=\frac{1}{2}\times\frac{4}{5}$ $x = \frac{4}{10}=\frac{2}{5}$

Answer:

$\frac{2}{5}$