Question

solve for c. \\(\frac{5}{12}c = \frac{3}{4}\left(\frac{2}{3}c - 4\
ight)\\) \\(c = \square\\)

Explanation:

Step1: Simplify right-hand side

$\frac{5}{12}c = \frac{3}{4} \times \frac{2}{3}c - \frac{3}{4} \times 4$
$\frac{5}{12}c = \frac{1}{2}c - 3$

Step2: Eliminate fractions (multiply by 12)

$12 \times \frac{5}{12}c = 12 \times \frac{1}{2}c - 12 \times 3$
$5c = 6c - 36$

Step3: Isolate c terms

$5c - 6c = -36$
$-c = -36$

Step4: Solve for c

$c = 36$

Answer:

36