11x+6=10(x+2)+8

Solution for 11x+6=10(x+2)+8 equation:

Simplifying
11x + 6 = 10(x + 2) + 8

Reorder the terms:
6 + 11x = 10(x + 2) + 8

Reorder the terms:
6 + 11x = 10(2 + x) + 8
6 + 11x = (2 * 10 + x * 10) + 8
6 + 11x = (20 + 10x) + 8

Reorder the terms:
6 + 11x = 20 + 8 + 10x

Combine like terms: 20 + 8 = 28
6 + 11x = 28 + 10x

Solving
6 + 11x = 28 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
6 + 11x + -10x = 28 + 10x + -10x

Combine like terms: 11x + -10x = 1x
6 + 1x = 28 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + 1x = 28 + 0
6 + 1x = 28

Add '-6' to each side of the equation.
6 + -6 + 1x = 28 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 28 + -6
1x = 28 + -6

Combine like terms: 28 + -6 = 22
1x = 22

Divide each side by '1'.
x = 22

Simplifying
x = 22