solve: 2(4x - 3) - 8 = 4 + 2x

Explanation:

Step1: Expand the left - hand side

$2(4x - 3)-8=8x-6 - 8=8x-14$ So the equation becomes $8x-14 = 4 + 2x$.

Step2: Move the terms with x to one side

Subtract $2x$ from both sides: $8x-2x-14=4 + 2x-2x$, which simplifies to $6x-14 = 4$.

Step3: Move the constant to the other side

Add 14 to both sides: $6x-14 + 14=4 + 14$, getting $6x=18$.

Step4: Solve for x

Divide both sides by 6: $\frac{6x}{6}=\frac{18}{6}$, so $x = 3$.

Answer:

$x = 3$