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

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


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

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

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

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

Solving
-8 + 4x = 2 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-8 + 4x + 6x = 2 + -6x + 6x

Combine like terms: 4x + 6x = 10x
-8 + 10x = 2 + -6x + 6x

Combine like terms: -6x + 6x = 0
-8 + 10x = 2 + 0
-8 + 10x = 2

Add '8' to each side of the equation.
-8 + 8 + 10x = 2 + 8

Combine like terms: -8 + 8 = 0
0 + 10x = 2 + 8
10x = 2 + 8

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

Divide each side by '10'.
x = 1

Simplifying
x = 1

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