Question

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

Explanation:

Step1: Eliminate the denominator

Multiply both sides of the equation by 4 to get rid of the denominator on the left side.
$$4\times\frac{12x - 8}{4}=4\times(2x - 1)$$
Simplify both sides:
$$12x - 8 = 8x - 4$$

Step2: Move the terms with x to one side

Subtract \(8x\) from both sides of the equation.
$$12x - 8x - 8 = 8x - 8x - 4$$
Simplify:
$$4x - 8 = - 4$$

Step3: Solve for x

Add 8 to both sides of the equation.
$$4x - 8 + 8 = - 4 + 8$$
Simplify:
$$4x = 4$$
Divide both sides by 4.
$$\frac{4x}{4}=\frac{4}{4}$$
Simplify to get the value of x:
$$x = 1$$

Answer:

\(x = 1\)