2(2x-3)-3(x+1)=(x-2)4-3(x+5)

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Solution for 2(2x-3)-3(x+1)=(x-2)4-3(x+5) equation: 


Simplifying
2(2x + -3) + -3(x + 1) = (x + -2) * 4 + -3(x + 5)

Reorder the terms:
2(-3 + 2x) + -3(x + 1) = (x + -2) * 4 + -3(x + 5)
(-3 * 2 + 2x * 2) + -3(x + 1) = (x + -2) * 4 + -3(x + 5)
(-6 + 4x) + -3(x + 1) = (x + -2) * 4 + -3(x + 5)

Reorder the terms:
-6 + 4x + -3(1 + x) = (x + -2) * 4 + -3(x + 5)
-6 + 4x + (1 * -3 + x * -3) = (x + -2) * 4 + -3(x + 5)
-6 + 4x + (-3 + -3x) = (x + -2) * 4 + -3(x + 5)

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

Combine like terms: -6 + -3 = -9
-9 + 4x + -3x = (x + -2) * 4 + -3(x + 5)

Combine like terms: 4x + -3x = 1x
-9 + 1x = (x + -2) * 4 + -3(x + 5)

Reorder the terms:
-9 + 1x = (-2 + x) * 4 + -3(x + 5)

Reorder the terms for easier multiplication:
-9 + 1x = 4(-2 + x) + -3(x + 5)
-9 + 1x = (-2 * 4 + x * 4) + -3(x + 5)
-9 + 1x = (-8 + 4x) + -3(x + 5)

Reorder the terms:
-9 + 1x = -8 + 4x + -3(5 + x)
-9 + 1x = -8 + 4x + (5 * -3 + x * -3)
-9 + 1x = -8 + 4x + (-15 + -3x)

Reorder the terms:
-9 + 1x = -8 + -15 + 4x + -3x

Combine like terms: -8 + -15 = -23
-9 + 1x = -23 + 4x + -3x

Combine like terms: 4x + -3x = 1x
-9 + 1x = -23 + 1x

Add '-1x' to each side of the equation.
-9 + 1x + -1x = -23 + 1x + -1x

Combine like terms: 1x + -1x = 0
-9 + 0 = -23 + 1x + -1x
-9 = -23 + 1x + -1x

Combine like terms: 1x + -1x = 0
-9 = -23 + 0
-9 = -23

Solving
-9 = -23

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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