Question

solve for s.
$12 + \frac{3}{2}s - \frac{1}{2} - \frac{3}{4}s = \frac{5}{4}s$
$s = \square$

Explanation:

Step1: Combine constant terms

$12 - \frac{1}{2} = \frac{24}{2} - \frac{1}{2} = \frac{23}{2}$

Step2: Combine s terms on left

$\frac{3}{2}s - \frac{3}{4}s = \frac{6}{4}s - \frac{3}{4}s = \frac{3}{4}s$

Step3: Rewrite simplified equation

$\frac{23}{2} + \frac{3}{4}s = \frac{5}{4}s$

Step4: Isolate s terms on right

$\frac{23}{2} = \frac{5}{4}s - \frac{3}{4}s$

Step5: Simplify right-hand side

$\frac{23}{2} = \frac{2}{4}s = \frac{1}{2}s$

Step6: Solve for s by multiplying 2

$s = \frac{23}{2} \times 2$

Answer:

$23$