2x+1=x+6

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

Simplifying
2x + 1 = x + 6

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

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

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

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

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

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

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

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

Divide each side by '1'.
x = 5

Simplifying
x = 5