2x-6=3x+1-x-7 what is the value of x

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.