2x-9=5x+21

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Solution for 2x-9=5x+21 equation:


Simplifying
2x + -9 = 5x + 21

Reorder the terms:
-9 + 2x = 5x + 21

Reorder the terms:
-9 + 2x = 21 + 5x

Solving
-9 + 2x = 21 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-9 + 2x + -5x = 21 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-9 + -3x = 21 + 5x + -5x

Combine like terms: 5x + -5x = 0
-9 + -3x = 21 + 0
-9 + -3x = 21

Add '9' to each side of the equation.
-9 + 9 + -3x = 21 + 9

Combine like terms: -9 + 9 = 0
0 + -3x = 21 + 9
-3x = 21 + 9

Combine like terms: 21 + 9 = 30
-3x = 30

Divide each side by '-3'.
x = -10

Simplifying
x = -10

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