5x-45=2x-12

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Solution for 5x-45=2x-12 equation:


Simplifying
5x + -45 = 2x + -12

Reorder the terms:
-45 + 5x = 2x + -12

Reorder the terms:
-45 + 5x = -12 + 2x

Solving
-45 + 5x = -12 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-45 + 5x + -2x = -12 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-45 + 3x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-45 + 3x = -12 + 0
-45 + 3x = -12

Add '45' to each side of the equation.
-45 + 45 + 3x = -12 + 45

Combine like terms: -45 + 45 = 0
0 + 3x = -12 + 45
3x = -12 + 45

Combine like terms: -12 + 45 = 33
3x = 33

Divide each side by '3'.
x = 11

Simplifying
x = 11

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