10x -(2x-4)=4(3x-2)

Let's solve the equation step by step. The equation is:

\[ 10x - (2x - 4) = 4(3x - 2) \]

First, let's simplify both sides.

1. Distribute the negative sign on the left side: \[ 10x - 2x + 4 = 4(3x - 2) \] This simplifies to: \[ 8x + 4 = 4(3x - 2) \]

2. Now distribute on the right side: \[ 8x + 4 = 12x - 8 \]

3. Next, let's move all the terms with \( x \) to one side and constant terms to the other side. Subtract \( 12x \) from both sides: \[ 8x - 12x + 4 = -8 \] Simplifying, we get: \[ -4x + 4 = -8 \]

4. Now, subtract 4 from both sides: \[ -4x = -12 \]

5. Finally, divide both sides by -4: \[ x = 3 \]

Thus, the solution to the equation is: \[ \boxed{3} \]