Question

1. \\(2(x - 3) = \frac{1}{2}(4x - 12)\\)

Explanation:

Step1: Expand both sides

Left: $2(x-3) = 2x - 6$
Right: $\frac{1}{2}(4x-12) = 2x - 6$

Step2: Simplify the equation

$2x - 6 = 2x - 6$

Step3: Rearrange terms

Subtract $2x$ from both sides: $-6 = -6$

Answer:

All real numbers are solutions (the equation is an identity).