100-9(x-1)=x-1

Solution for 100-9(x-1)=x-1 equation:

Simplifying
100 + -9(x + -1) = x + -1

Reorder the terms:
100 + -9(-1 + x) = x + -1
100 + (-1 * -9 + x * -9) = x + -1
100 + (9 + -9x) = x + -1

Combine like terms: 100 + 9 = 109
109 + -9x = x + -1

Reorder the terms:
109 + -9x = -1 + x

Solving
109 + -9x = -1 + 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.
109 + -9x + -1x = -1 + x + -1x

Combine like terms: -9x + -1x = -10x
109 + -10x = -1 + x + -1x

Combine like terms: x + -1x = 0
109 + -10x = -1 + 0
109 + -10x = -1

Add '-109' to each side of the equation.
109 + -109 + -10x = -1 + -109

Combine like terms: 109 + -109 = 0
0 + -10x = -1 + -109
-10x = -1 + -109

Combine like terms: -1 + -109 = -110
-10x = -110

Divide each side by '-10'.
x = 11

Simplifying
x = 11