6(x-5)=2(3x-12)-6

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Solution for 6(x-5)=2(3x-12)-6 equation: 


Simplifying
6(x + -5) = 2(3x + -12) + -6

Reorder the terms:
6(-5 + x) = 2(3x + -12) + -6
(-5 * 6 + x * 6) = 2(3x + -12) + -6
(-30 + 6x) = 2(3x + -12) + -6

Reorder the terms:
-30 + 6x = 2(-12 + 3x) + -6
-30 + 6x = (-12 * 2 + 3x * 2) + -6
-30 + 6x = (-24 + 6x) + -6

Reorder the terms:
-30 + 6x = -24 + -6 + 6x

Combine like terms: -24 + -6 = -30
-30 + 6x = -30 + 6x

Add '30' to each side of the equation.
-30 + 30 + 6x = -30 + 30 + 6x

Combine like terms: -30 + 30 = 0
0 + 6x = -30 + 30 + 6x
6x = -30 + 30 + 6x

Combine like terms: -30 + 30 = 0
6x = 0 + 6x
6x = 6x

Add '-6x' to each side of the equation.
6x + -6x = 6x + -6x

Combine like terms: 6x + -6x = 0
0 = 6x + -6x

Combine like terms: 6x + -6x = 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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