3x - 7 - 2x + 5 = 6

1 answer

To solve the equation \(3x - 7 - 2x + 5 = 6\), we can start by simplifying the left side.

  1. Combine like terms: \[ (3x - 2x) + (-7 + 5) = 6 \] This simplifies to: \[ x - 2 = 6 \]

  2. Next, isolate \(x\) by adding 2 to both sides: \[ x - 2 + 2 = 6 + 2 \] This gives us: \[ x = 8 \]

So the solution to the equation is: \[ \boxed{8} \]