First, distribute the 2 in the left side of the equation. Resulting in: 2x-6 = (x-1) + 7
Second, remove the parentheses form the right side of the equation (there is nothing to distribute there). Resulting in: x - 1 + 7
Now simplify the right side of the equation by subtracting the 1 from the 7. Resulting in: x + 6
Our goal is to isolate the x to the left side, and the numerals to the right side. With that in mind, add the 6 (from the right side) to both sides. This cancels out the 6 on the right side. Resulting in: 2x = 12
Lastly, in order to fully isolate the variable (x), we divide both sides by 2. Resulting in: x = 6