11x-(x-20)=100

Solution for 11x-(x-20)=100 equation:

Simplifying
11x + -1(x + -20) = 100

Reorder the terms:
11x + -1(-20 + x) = 100
11x + (-20 * -1 + x * -1) = 100
11x + (20 + -1x) = 100

Reorder the terms:
20 + 11x + -1x = 100

Combine like terms: 11x + -1x = 10x
20 + 10x = 100

Solving
20 + 10x = 100

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + 10x = 100 + -20

Combine like terms: 20 + -20 = 0
0 + 10x = 100 + -20
10x = 100 + -20

Combine like terms: 100 + -20 = 80
10x = 80

Divide each side by '10'.
x = 8

Simplifying
x = 8