3x+6-x=6+x+1

Solution for 3x+6-x=6+x+1 equation:

Simplifying
3x + 6 + -1x = 6 + x + 1

Reorder the terms:
6 + 3x + -1x = 6 + x + 1

Combine like terms: 3x + -1x = 2x
6 + 2x = 6 + x + 1

Reorder the terms:
6 + 2x = 6 + 1 + x

Combine like terms: 6 + 1 = 7
6 + 2x = 7 + x

Solving
6 + 2x = 7 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
6 + 2x + -1x = 7 + x + -1x

Combine like terms: 2x + -1x = 1x
6 + 1x = 7 + x + -1x

Combine like terms: x + -1x = 0
6 + 1x = 7 + 0
6 + 1x = 7

Add '-6' to each side of the equation.
6 + -6 + 1x = 7 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 7 + -6
1x = 7 + -6

Combine like terms: 7 + -6 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1