2x+21=5x-12

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Solution for 2x+21=5x-12 equation:


Simplifying
2x + 21 = 5x + -12

Reorder the terms:
21 + 2x = 5x + -12

Reorder the terms:
21 + 2x = -12 + 5x

Solving
21 + 2x = -12 + 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.
21 + 2x + -5x = -12 + 5x + -5x

Combine like terms: 2x + -5x = -3x
21 + -3x = -12 + 5x + -5x

Combine like terms: 5x + -5x = 0
21 + -3x = -12 + 0
21 + -3x = -12

Add '-21' to each side of the equation.
21 + -21 + -3x = -12 + -21

Combine like terms: 21 + -21 = 0
0 + -3x = -12 + -21
-3x = -12 + -21

Combine like terms: -12 + -21 = -33
-3x = -33

Divide each side by '-3'.
x = 11

Simplifying
x = 11

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