9x+21=10x-20

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Solution for 9x+21=10x-20 equation:


Simplifying
9x + 21 = 10x + -20

Reorder the terms:
21 + 9x = 10x + -20

Reorder the terms:
21 + 9x = -20 + 10x

Solving
21 + 9x = -20 + 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.
21 + 9x + -10x = -20 + 10x + -10x

Combine like terms: 9x + -10x = -1x
21 + -1x = -20 + 10x + -10x

Combine like terms: 10x + -10x = 0
21 + -1x = -20 + 0
21 + -1x = -20

Add '-21' to each side of the equation.
21 + -21 + -1x = -20 + -21

Combine like terms: 21 + -21 = 0
0 + -1x = -20 + -21
-1x = -20 + -21

Combine like terms: -20 + -21 = -41
-1x = -41

Divide each side by '-1'.
x = 41

Simplifying
x = 41

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