6(x+1)=x+2

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

Simplifying
6(x + 1) = x + 2

Reorder the terms:
6(1 + x) = x + 2
(1 * 6 + x * 6) = x + 2
(6 + 6x) = x + 2

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

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

Combine like terms: 6x + -1x = 5x
6 + 5x = 2 + x + -1x

Combine like terms: x + -1x = 0
6 + 5x = 2 + 0
6 + 5x = 2

Add '-6' to each side of the equation.
6 + -6 + 5x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = 2 + -6
5x = 2 + -6

Combine like terms: 2 + -6 = -4
5x = -4

Divide each side by '5'.
x = -0.8

Simplifying
x = -0.8