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

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


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

Reorder the terms:
2(-3 + x) = 4(x + -2) + -2(x + 4)
(-3 * 2 + x * 2) = 4(x + -2) + -2(x + 4)
(-6 + 2x) = 4(x + -2) + -2(x + 4)

Reorder the terms:
-6 + 2x = 4(-2 + x) + -2(x + 4)
-6 + 2x = (-2 * 4 + x * 4) + -2(x + 4)
-6 + 2x = (-8 + 4x) + -2(x + 4)

Reorder the terms:
-6 + 2x = -8 + 4x + -2(4 + x)
-6 + 2x = -8 + 4x + (4 * -2 + x * -2)
-6 + 2x = -8 + 4x + (-8 + -2x)

Reorder the terms:
-6 + 2x = -8 + -8 + 4x + -2x

Combine like terms: -8 + -8 = -16
-6 + 2x = -16 + 4x + -2x

Combine like terms: 4x + -2x = 2x
-6 + 2x = -16 + 2x

Add '-2x' to each side of the equation.
-6 + 2x + -2x = -16 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + 0 = -16 + 2x + -2x
-6 = -16 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 = -16 + 0
-6 = -16

Solving
-6 = -16

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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