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

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


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

Reorder the terms:
2(-2 + x) = 3(2x + -3) + 2(1 + -2x)
(-2 * 2 + x * 2) = 3(2x + -3) + 2(1 + -2x)
(-4 + 2x) = 3(2x + -3) + 2(1 + -2x)

Reorder the terms:
-4 + 2x = 3(-3 + 2x) + 2(1 + -2x)
-4 + 2x = (-3 * 3 + 2x * 3) + 2(1 + -2x)
-4 + 2x = (-9 + 6x) + 2(1 + -2x)
-4 + 2x = -9 + 6x + (1 * 2 + -2x * 2)
-4 + 2x = -9 + 6x + (2 + -4x)

Reorder the terms:
-4 + 2x = -9 + 2 + 6x + -4x

Combine like terms: -9 + 2 = -7
-4 + 2x = -7 + 6x + -4x

Combine like terms: 6x + -4x = 2x
-4 + 2x = -7 + 2x

Add '-2x' to each side of the equation.
-4 + 2x + -2x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
-4 + 0 = -7 + 2x + -2x
-4 = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
-4 = -7 + 0
-4 = -7

Solving
-4 = -7

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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