-6(x-2)+3x=-3(x+3)+21

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Solution for -6(x-2)+3x=-3(x+3)+21 equation: 


Simplifying
-6(x + -2) + 3x = -3(x + 3) + 21

Reorder the terms:
-6(-2 + x) + 3x = -3(x + 3) + 21
(-2 * -6 + x * -6) + 3x = -3(x + 3) + 21
(12 + -6x) + 3x = -3(x + 3) + 21

Combine like terms: -6x + 3x = -3x
12 + -3x = -3(x + 3) + 21

Reorder the terms:
12 + -3x = -3(3 + x) + 21
12 + -3x = (3 * -3 + x * -3) + 21
12 + -3x = (-9 + -3x) + 21

Reorder the terms:
12 + -3x = -9 + 21 + -3x

Combine like terms: -9 + 21 = 12
12 + -3x = 12 + -3x

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

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

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

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

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

Combine like terms: -3x + 3x = 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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