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

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Solution for 5(x-1)-3(x+2)=2x-7 equation: 


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

Reorder the terms:
5(-1 + x) + -3(x + 2) = 2x + -7
(-1 * 5 + x * 5) + -3(x + 2) = 2x + -7
(-5 + 5x) + -3(x + 2) = 2x + -7

Reorder the terms:
-5 + 5x + -3(2 + x) = 2x + -7
-5 + 5x + (2 * -3 + x * -3) = 2x + -7
-5 + 5x + (-6 + -3x) = 2x + -7

Reorder the terms:
-5 + -6 + 5x + -3x = 2x + -7

Combine like terms: -5 + -6 = -11
-11 + 5x + -3x = 2x + -7

Combine like terms: 5x + -3x = 2x
-11 + 2x = 2x + -7

Reorder the terms:
-11 + 2x = -7 + 2x

Add '-2x' to each side of the equation.
-11 + 2x + -2x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
-11 + 0 = -7 + 2x + -2x
-11 = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
-11 = -7 + 0
-11 = -7

Solving
-11 = -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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