2(x-4)=10-x+4(x-2)

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Solution for 2(x-4)=10-x+4(x-2) equation: 


Simplifying
2(x + -4) = 10 + -1x + 4(x + -2)

Reorder the terms:
2(-4 + x) = 10 + -1x + 4(x + -2)
(-4 * 2 + x * 2) = 10 + -1x + 4(x + -2)
(-8 + 2x) = 10 + -1x + 4(x + -2)

Reorder the terms:
-8 + 2x = 10 + -1x + 4(-2 + x)
-8 + 2x = 10 + -1x + (-2 * 4 + x * 4)
-8 + 2x = 10 + -1x + (-8 + 4x)

Reorder the terms:
-8 + 2x = 10 + -8 + -1x + 4x

Combine like terms: 10 + -8 = 2
-8 + 2x = 2 + -1x + 4x

Combine like terms: -1x + 4x = 3x
-8 + 2x = 2 + 3x

Solving
-8 + 2x = 2 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
-8 + 2x + -3x = 2 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-8 + -1x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + -1x = 2 + 0
-8 + -1x = 2

Add '8' to each side of the equation.
-8 + 8 + -1x = 2 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 2 + 8
-1x = 2 + 8

Combine like terms: 2 + 8 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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