2(x-3)-2=5(x-1)-3x

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Solution for 2(x-3)-2=5(x-1)-3x equation:


Simplifying
2(x + -3) + -2 = 5(x + -1) + -3x

Reorder the terms:
2(-3 + x) + -2 = 5(x + -1) + -3x
(-3 * 2 + x * 2) + -2 = 5(x + -1) + -3x
(-6 + 2x) + -2 = 5(x + -1) + -3x

Reorder the terms:
-6 + -2 + 2x = 5(x + -1) + -3x

Combine like terms: -6 + -2 = -8
-8 + 2x = 5(x + -1) + -3x

Reorder the terms:
-8 + 2x = 5(-1 + x) + -3x
-8 + 2x = (-1 * 5 + x * 5) + -3x
-8 + 2x = (-5 + 5x) + -3x

Combine like terms: 5x + -3x = 2x
-8 + 2x = -5 + 2x

Add '-2x' to each side of the equation.
-8 + 2x + -2x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-8 + 0 = -5 + 2x + -2x
-8 = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-8 = -5 + 0
-8 = -5

Solving
-8 = -5

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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