To solve the equation \(3x - 7 - 2x + 5 = 6\), you can follow these steps:
-
Optional First Step: Combine like terms on the left side of the equation.
- \(3x - 2x - 7 + 5 = 6\)
-
Combine the \(x\) terms and the constants:
- \( (3x - 2x) + (-7 + 5) = 6\)
- \(x - 2 = 6\)
-
Add 2 to both sides of the equation to isolate the variable:
- \(x - 2 + 2 = 6 + 2\)
- \(x = 8\)
So, the solution is \(x = 8\).