Question

problem:
\\(\frac{x}{4} + 5 = \frac{1}{2}(x - 3)\\)

Explanation:

Step1: Eliminate denominators

Multiply both sides by 4 (LCM of 4 and 2) to eliminate fractions:
$4\times(\frac{x}{4} + 5)=4\times\frac{1}{2}(x - 3)$
Simplify: $x + 20 = 2(x - 3)$

Step2: Expand the right side

Distribute 2 on the right:
$x + 20 = 2x - 6$

Step3: Solve for \( x \)

Subtract \( x \) from both sides:
$20 = x - 6$

Add 6 to both sides:
$x = 26$

Answer:

\( x = 26 \)