2x+6=x+1

Solution for 2x+6=x+1 equation:

Simplifying
2x + 6 = x + 1

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

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

Solving
6 + 2x = 1 + 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 = 1 + x + -1x

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

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

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

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

Combine like terms: 1 + -6 = -5
1x = -5

Divide each side by '1'.
x = -5

Simplifying
x = -5