Question

solve \\(\frac{1}{4}x + 3 = \frac{1}{2}x + 5\\).
x = \underline{\quad}

Explanation:

Step1: Subtract $\frac{1}{4}x$ from both sides

$\frac{1}{4}x + 3 - \frac{1}{4}x = \frac{1}{2}x + 5 - \frac{1}{4}x$
$3 = \frac{1}{4}x + 5$

Step2: Subtract 5 from both sides

$3 - 5 = \frac{1}{4}x + 5 - 5$
$-2 = \frac{1}{4}x$

Step3: Multiply both sides by 4

$-2 \times 4 = \frac{1}{4}x \times 4$
$x = -8$

Answer:

$x = -8$