## College Algebra (10th Edition)

$\dfrac{3}{2}x-1$
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: $\require{cancel} =\left(\dfrac{\cancel{6}3}{\cancel{4}2}x\right) - \dfrac{\cancel{2}}{\cancel{2}}\\ \\=\frac{3}{2}x - 1$