To solve the equation 5x + (3x - 3) = 6x + 11, we need to simplify the equation step by step.
- Simplify the left side of the equation: 5x + (3x - 3) = 5x + 3x - 3 = 8x - 3
Now the equation becomes: 8x - 3 = 6x + 11
Move all terms involving x to one side and constant terms to the other side: 8x - 3 = 6x + 11 Subtract 6x from both sides: 8x - 6x - 3 = 6x - 6x + 11 2x - 3 = 11
Add 3 to both sides to isolate the term involving x: 2x - 3 + 3 = 11 + 3 2x = 14
Finally, divide both sides by 2 to solve for x: 2x / 2 = 14 / 2 x = 7
Therefore, the solution to the equation 5x + (3x - 3) = 6x + 11 is x = 7.