5(x-1)=2(x+2)+3x-8

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Solution for 5(x-1)=2(x+2)+3x-8 equation:


Simplifying
5(x + -1) = 2(x + 2) + 3x + -8

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

Reorder the terms:
-5 + 5x = 2(2 + x) + 3x + -8
-5 + 5x = (2 * 2 + x * 2) + 3x + -8
-5 + 5x = (4 + 2x) + 3x + -8

Reorder the terms:
-5 + 5x = 4 + -8 + 2x + 3x

Combine like terms: 4 + -8 = -4
-5 + 5x = -4 + 2x + 3x

Combine like terms: 2x + 3x = 5x
-5 + 5x = -4 + 5x

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

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

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

Solving
-5 = -4

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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