Question

Solve$-1=\frac{1}{2}u+\frac{1}{4}u-\frac{2}{3}u$

Short answer

The answer is$u=-12$

Step-by-step solution

Step 1. Given information

The equation is$-1=\frac{1}{2}u+\frac{1}{4}u-\frac{2}{3}u$

Step 2. Calculation

Find LCD of denominators of equation $-1=\frac{1}{2}u+\frac{1}{4}u-\frac{2}{3}u$

LCD of 2, 4, 3 is 12

So, $12\left(-1\right)=12\left(\frac{1}{2}u+\frac{1}{4}u-\frac{2}{3}u\right)$

$-12=6u+3u-8u$

Combine like terms

$-12=u$