2(2x-3)+1=-3x+7(x-2)

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Solution for 2(2x-3)+1=-3x+7(x-2) equation:


Simplifying
2(2x + -3) + 1 = -3x + 7(x + -2)

Reorder the terms:
2(-3 + 2x) + 1 = -3x + 7(x + -2)
(-3 * 2 + 2x * 2) + 1 = -3x + 7(x + -2)
(-6 + 4x) + 1 = -3x + 7(x + -2)

Reorder the terms:
-6 + 1 + 4x = -3x + 7(x + -2)

Combine like terms: -6 + 1 = -5
-5 + 4x = -3x + 7(x + -2)

Reorder the terms:
-5 + 4x = -3x + 7(-2 + x)
-5 + 4x = -3x + (-2 * 7 + x * 7)
-5 + 4x = -3x + (-14 + 7x)

Reorder the terms:
-5 + 4x = -14 + -3x + 7x

Combine like terms: -3x + 7x = 4x
-5 + 4x = -14 + 4x

Add '-4x' to each side of the equation.
-5 + 4x + -4x = -14 + 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + 0 = -14 + 4x + -4x
-5 = -14 + 4x + -4x

Combine like terms: 4x + -4x = 0
-5 = -14 + 0
-5 = -14

Solving
-5 = -14

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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