11x+6=10(x+5)-10

Solution for 11x+6=10(x+5)-10 equation:

Simplifying
11x + 6 = 10(x + 5) + -10

Reorder the terms:
6 + 11x = 10(x + 5) + -10

Reorder the terms:
6 + 11x = 10(5 + x) + -10
6 + 11x = (5 * 10 + x * 10) + -10
6 + 11x = (50 + 10x) + -10

Reorder the terms:
6 + 11x = 50 + -10 + 10x

Combine like terms: 50 + -10 = 40
6 + 11x = 40 + 10x

Solving
6 + 11x = 40 + 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 = 40 + 10x + -10x

Combine like terms: 11x + -10x = 1x
6 + 1x = 40 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + 1x = 40 + 0
6 + 1x = 40

Add '-6' to each side of the equation.
6 + -6 + 1x = 40 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 40 + -6
1x = 40 + -6

Combine like terms: 40 + -6 = 34
1x = 34

Divide each side by '1'.
x = 34

Simplifying
x = 34