2x+3x-12=5(x-2)-2

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Solution for 2x+3x-12=5(x-2)-2 equation:


Simplifying
2x + 3x + -12 = 5(x + -2) + -2

Reorder the terms:
-12 + 2x + 3x = 5(x + -2) + -2

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

Reorder the terms:
-12 + 5x = 5(-2 + x) + -2
-12 + 5x = (-2 * 5 + x * 5) + -2
-12 + 5x = (-10 + 5x) + -2

Reorder the terms:
-12 + 5x = -10 + -2 + 5x

Combine like terms: -10 + -2 = -12
-12 + 5x = -12 + 5x

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

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

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

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

Combine like terms: 5x + -5x = 0
0 = 5x + -5x

Combine like terms: 5x + -5x = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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