5x+6=x+1

Solution for 5x+6=x+1 equation:

Simplifying
5x + 6 = x + 1

Reorder the terms:
6 + 5x = x + 1

Reorder the terms:
6 + 5x = 1 + x

Solving
6 + 5x = 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 + 5x + -1x = 1 + x + -1x

Combine like terms: 5x + -1x = 4x
6 + 4x = 1 + x + -1x

Combine like terms: x + -1x = 0
6 + 4x = 1 + 0
6 + 4x = 1

Add '-6' to each side of the equation.
6 + -6 + 4x = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 1 + -6
4x = 1 + -6

Combine like terms: 1 + -6 = -5
4x = -5

Divide each side by '4'.
x = -1.25

Simplifying
x = -1.25