6(x+3)-5x=-2(x-9)+3x

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Solution for 6(x+3)-5x=-2(x-9)+3x equation: 


Simplifying
6(x + 3) + -5x = -2(x + -9) + 3x

Reorder the terms:
6(3 + x) + -5x = -2(x + -9) + 3x
(3 * 6 + x * 6) + -5x = -2(x + -9) + 3x
(18 + 6x) + -5x = -2(x + -9) + 3x

Combine like terms: 6x + -5x = 1x
18 + 1x = -2(x + -9) + 3x

Reorder the terms:
18 + 1x = -2(-9 + x) + 3x
18 + 1x = (-9 * -2 + x * -2) + 3x
18 + 1x = (18 + -2x) + 3x

Combine like terms: -2x + 3x = 1x
18 + 1x = 18 + 1x

Add '-18' to each side of the equation.
18 + -18 + 1x = 18 + -18 + 1x

Combine like terms: 18 + -18 = 0
0 + 1x = 18 + -18 + 1x
1x = 18 + -18 + 1x

Combine like terms: 18 + -18 = 0
1x = 0 + 1x
1x = 1x

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

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

Combine like terms: 1x + -1x = 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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