4(x+3)-5x=2(x+6)-3x

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Solution for 4(x+3)-5x=2(x+6)-3x equation: 


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

Reorder the terms:
4(3 + x) + -5x = 2(x + 6) + -3x
(3 * 4 + x * 4) + -5x = 2(x + 6) + -3x
(12 + 4x) + -5x = 2(x + 6) + -3x

Combine like terms: 4x + -5x = -1x
12 + -1x = 2(x + 6) + -3x

Reorder the terms:
12 + -1x = 2(6 + x) + -3x
12 + -1x = (6 * 2 + x * 2) + -3x
12 + -1x = (12 + 2x) + -3x

Combine like terms: 2x + -3x = -1x
12 + -1x = 12 + -1x

Add '-12' to each side of the equation.
12 + -12 + -1x = 12 + -12 + -1x

Combine like terms: 12 + -12 = 0
0 + -1x = 12 + -12 + -1x
-1x = 12 + -12 + -1x

Combine like terms: 12 + -12 = 0
-1x = 0 + -1x
-1x = -1x

Add 'x' to each side of the equation.
-1x + x = -1x + x

Combine like terms: -1x + x = 0
0 = -1x + x

Combine like terms: -1x + x = 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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