3(x-2)-(x+2)=2x-8

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Solution for 3(x-2)-(x+2)=2x-8 equation:


Simplifying
3(x + -2) + -1(x + 2) = 2x + -8

Reorder the terms:
3(-2 + x) + -1(x + 2) = 2x + -8
(-2 * 3 + x * 3) + -1(x + 2) = 2x + -8
(-6 + 3x) + -1(x + 2) = 2x + -8

Reorder the terms:
-6 + 3x + -1(2 + x) = 2x + -8
-6 + 3x + (2 * -1 + x * -1) = 2x + -8
-6 + 3x + (-2 + -1x) = 2x + -8

Reorder the terms:
-6 + -2 + 3x + -1x = 2x + -8

Combine like terms: -6 + -2 = -8
-8 + 3x + -1x = 2x + -8

Combine like terms: 3x + -1x = 2x
-8 + 2x = 2x + -8

Reorder the terms:
-8 + 2x = -8 + 2x

Add '8' to each side of the equation.
-8 + 8 + 2x = -8 + 8 + 2x

Combine like terms: -8 + 8 = 0
0 + 2x = -8 + 8 + 2x
2x = -8 + 8 + 2x

Combine like terms: -8 + 8 = 0
2x = 0 + 2x
2x = 2x

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

Combine like terms: 2x + -2x = 0
0 = 2x + -2x

Combine like terms: 2x + -2x = 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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