Question

(\frac{12x - 8}{4}=2x - 1)

Explanation:

Step1: Simplify left - hand side

Simplify the fraction \(\frac{12x - 8}{4}\) by dividing each term in the numerator by 4. We know that \(\frac{12x}{4}-\frac{8}{4}=3x - 2\). So the equation becomes \(3x-2 = 2x - 1\).

Step2: Isolate the variable \(x\)

Subtract \(2x\) from both sides of the equation. \((3x-2)-2x=(2x - 1)-2x\). Simplifying both sides, we get \(x-2=-1\). Then add 2 to both sides: \((x - 2)+2=-1 + 2\).

Step3: Solve for \(x\)

Simplifying the left - hand side gives \(x\) and the right - hand side gives 1. So \(x = 1\).

Answer:

\(x = 1\)