Answer
$\dfrac{3}{2}x-1$
Work Step by Step
RECALL:
The distributive property states that for any real numbers a, b, and c:
$a(b-c) = ab - ac$
Use the distributive property to obtain:
$=2(\frac{3}{4}x) -2(\frac{1}{2})
\\=\frac{6}{4}x - \frac{2}{2}$
Simplify each fraction by canceling common factors to obtain:
$\require{cancel}
=\left(\dfrac{\cancel{6}3}{\cancel{4}2}x\right) - \dfrac{\cancel{2}}{\cancel{2}}\\
\\=\frac{3}{2}x - 1$
