2x-21=5x-3y-12

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Solution for 2x-21=5x-3y-12 equation:


Simplifying
2x + -21 = 5x + -3y + -12

Reorder the terms:
-21 + 2x = 5x + -3y + -12

Reorder the terms:
-21 + 2x = -12 + 5x + -3y

Solving
-21 + 2x = -12 + 5x + -3y

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 + -3y

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

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

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

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

Combine like terms: -12 + 21 = 9
-3x = 9 + -3y

Divide each side by '-3'.
x = -3 + y

Simplifying
x = -3 + y

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