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

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


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

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

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

Combine like terms: -6 + -6 = -12
-12 + 2x = 5x + -3(3 + x)
-12 + 2x = 5x + (3 * -3 + x * -3)
-12 + 2x = 5x + (-9 + -3x)

Reorder the terms:
-12 + 2x = -9 + 5x + -3x

Combine like terms: 5x + -3x = 2x
-12 + 2x = -9 + 2x

Add '-2x' to each side of the equation.
-12 + 2x + -2x = -9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + 0 = -9 + 2x + -2x
-12 = -9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 = -9 + 0
-12 = -9

Solving
-12 = -9

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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