4(x+3)-2(x+5)=2(x-2)

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Solution for 4(x+3)-2(x+5)=2(x-2) equation: 


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

Reorder the terms:
4(3 + x) + -2(x + 5) = 2(x + -2)
(3 * 4 + x * 4) + -2(x + 5) = 2(x + -2)
(12 + 4x) + -2(x + 5) = 2(x + -2)

Reorder the terms:
12 + 4x + -2(5 + x) = 2(x + -2)
12 + 4x + (5 * -2 + x * -2) = 2(x + -2)
12 + 4x + (-10 + -2x) = 2(x + -2)

Reorder the terms:
12 + -10 + 4x + -2x = 2(x + -2)

Combine like terms: 12 + -10 = 2
2 + 4x + -2x = 2(x + -2)

Combine like terms: 4x + -2x = 2x
2 + 2x = 2(x + -2)

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

Add '-2x' to each side of the equation.
2 + 2x + -2x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + 0 = -4 + 2x + -2x
2 = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 = -4 + 0
2 = -4

Solving
2 = -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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