2(x-4x+6+4)=2(x+2)

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Solution for 2(x-4x+6+4)=2(x+2) equation:


Simplifying
2(x + -4x + 6 + 4) = 2(x + 2)

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

Combine like terms: 6 + 4 = 10
2(10 + x + -4x) = 2(x + 2)

Combine like terms: x + -4x = -3x
2(10 + -3x) = 2(x + 2)
(10 * 2 + -3x * 2) = 2(x + 2)
(20 + -6x) = 2(x + 2)

Reorder the terms:
20 + -6x = 2(2 + x)
20 + -6x = (2 * 2 + x * 2)
20 + -6x = (4 + 2x)

Solving
20 + -6x = 4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
20 + -6x + -2x = 4 + 2x + -2x

Combine like terms: -6x + -2x = -8x
20 + -8x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0
20 + -8x = 4 + 0
20 + -8x = 4

Add '-20' to each side of the equation.
20 + -20 + -8x = 4 + -20

Combine like terms: 20 + -20 = 0
0 + -8x = 4 + -20
-8x = 4 + -20

Combine like terms: 4 + -20 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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