Question

1. solve \\(\frac{1}{2}x + 4 = \frac{1}{4}x + 7\\)

options: x=6, x=12, x=8, x=4

Explanation:

Step1: Isolate x terms

Subtract $\frac{1}{4}x$ from both sides:
$\frac{1}{2}x - \frac{1}{4}x + 4 = 7$
$\frac{2}{4}x - \frac{1}{4}x + 4 = 7$
$\frac{1}{4}x + 4 = 7$

Step2: Isolate the x term

Subtract 4 from both sides:
$\frac{1}{4}x = 7 - 4$
$\frac{1}{4}x = 3$

Step3: Solve for x

Multiply both sides by 4:
$x = 3 \times 4$
$x = 12$

Answer:

C. x=12