100-x=9(x-21)

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Solution for 100-x=9(x-21) equation:


Simplifying
100 + -1x = 9(x + -21)

Reorder the terms:
100 + -1x = 9(-21 + x)
100 + -1x = (-21 * 9 + x * 9)
100 + -1x = (-189 + 9x)

Solving
100 + -1x = -189 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
100 + -1x + -9x = -189 + 9x + -9x

Combine like terms: -1x + -9x = -10x
100 + -10x = -189 + 9x + -9x

Combine like terms: 9x + -9x = 0
100 + -10x = -189 + 0
100 + -10x = -189

Add '-100' to each side of the equation.
100 + -100 + -10x = -189 + -100

Combine like terms: 100 + -100 = 0
0 + -10x = -189 + -100
-10x = -189 + -100

Combine like terms: -189 + -100 = -289
-10x = -289

Divide each side by '-10'.
x = 28.9

Simplifying
x = 28.9

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