5(x-2)-3x=2(x-3)-16

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Solution for 5(x-2)-3x=2(x-3)-16 equation: 


Simplifying
5(x + -2) + -3x = 2(x + -3) + -16

Reorder the terms:
5(-2 + x) + -3x = 2(x + -3) + -16
(-2 * 5 + x * 5) + -3x = 2(x + -3) + -16
(-10 + 5x) + -3x = 2(x + -3) + -16

Combine like terms: 5x + -3x = 2x
-10 + 2x = 2(x + -3) + -16

Reorder the terms:
-10 + 2x = 2(-3 + x) + -16
-10 + 2x = (-3 * 2 + x * 2) + -16
-10 + 2x = (-6 + 2x) + -16

Reorder the terms:
-10 + 2x = -6 + -16 + 2x

Combine like terms: -6 + -16 = -22
-10 + 2x = -22 + 2x

Add '-2x' to each side of the equation.
-10 + 2x + -2x = -22 + 2x + -2x

Combine like terms: 2x + -2x = 0
-10 + 0 = -22 + 2x + -2x
-10 = -22 + 2x + -2x

Combine like terms: 2x + -2x = 0
-10 = -22 + 0
-10 = -22

Solving
-10 = -22

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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