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

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


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

Reorder the terms:
3(-2 + x) + 2(x + -3) = 5x + -12
(-2 * 3 + x * 3) + 2(x + -3) = 5x + -12
(-6 + 3x) + 2(x + -3) = 5x + -12

Reorder the terms:
-6 + 3x + 2(-3 + x) = 5x + -12
-6 + 3x + (-3 * 2 + x * 2) = 5x + -12
-6 + 3x + (-6 + 2x) = 5x + -12

Reorder the terms:
-6 + -6 + 3x + 2x = 5x + -12

Combine like terms: -6 + -6 = -12
-12 + 3x + 2x = 5x + -12

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

Reorder the terms:
-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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