Step 1: Simplify both sides of the equation.
2x−6=3x+1−x−7
2x+−6=3x+1+−x+−7
2x−6=(3x+−x)+(1−7) (Combine Like Terms)
2x−6=2x+−6
2x−6=2x−6
Step 2: Subtract 2x from both sides.
2x−6−2x=2x−6−2x
−6=−6
Step 3: Add 6 to both sides.
−6+6=−6+6
0=0
Answer:
All real numbers are solutions.
