10x-89=x+100

Solution for 10x-89=x+100 equation:

Simplifying
10x + -89 = x + 100

Reorder the terms:
-89 + 10x = x + 100

Reorder the terms:
-89 + 10x = 100 + x

Solving
-89 + 10x = 100 + 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.
-89 + 10x + -1x = 100 + x + -1x

Combine like terms: 10x + -1x = 9x
-89 + 9x = 100 + x + -1x

Combine like terms: x + -1x = 0
-89 + 9x = 100 + 0
-89 + 9x = 100

Add '89' to each side of the equation.
-89 + 89 + 9x = 100 + 89

Combine like terms: -89 + 89 = 0
0 + 9x = 100 + 89
9x = 100 + 89

Combine like terms: 100 + 89 = 189
9x = 189

Divide each side by '9'.
x = 21

Simplifying
x = 21