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

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


Simplifying
4(x + -5) = 2(x + -2) + 2x

Reorder the terms:
4(-5 + x) = 2(x + -2) + 2x
(-5 * 4 + x * 4) = 2(x + -2) + 2x
(-20 + 4x) = 2(x + -2) + 2x

Reorder the terms:
-20 + 4x = 2(-2 + x) + 2x
-20 + 4x = (-2 * 2 + x * 2) + 2x
-20 + 4x = (-4 + 2x) + 2x

Combine like terms: 2x + 2x = 4x
-20 + 4x = -4 + 4x

Add '-4x' to each side of the equation.
-20 + 4x + -4x = -4 + 4x + -4x

Combine like terms: 4x + -4x = 0
-20 + 0 = -4 + 4x + -4x
-20 = -4 + 4x + -4x

Combine like terms: 4x + -4x = 0
-20 = -4 + 0
-20 = -4

Solving
-20 = -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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