8x - 2 (3x + 2) = 6(x - 2) + 6

Answer 1

To solve the equation \(8x - 2(3x + 2) = 6(x - 2) + 6\), let's start by simplifying both sides.

1. Distribute on the left side:

\[ 8x - 2(3x + 2) = 8x - 6x - 4 = 2x - 4 \]

2. Distribute on the right side:

\[ 6(x - 2) + 6 = 6x - 12 + 6 = 6x - 6 \]

Now, we rewrite the equation with the simplified expressions:

\[ 2x - 4 = 6x - 6 \]

3. Next, isolate \(x\) by subtracting \(2x\) from both sides:

\[ -4 = 4x - 6 \]

4. Add \(6\) to both sides:

\[ 2 = 4x \]

5. Finally, divide by \(4\):

\[ x = \frac{1}{2} \]

Thus, the solution to the equation is:

\[ \boxed{\frac{1}{2}} \]