2(x-1)+6x=4(2-x)+2

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Solution for 2(x-1)+6x=4(2-x)+2 equation: 


Simplifying
2(x + -1) + 6x = 4(2 + -1x) + 2

Reorder the terms:
2(-1 + x) + 6x = 4(2 + -1x) + 2
(-1 * 2 + x * 2) + 6x = 4(2 + -1x) + 2
(-2 + 2x) + 6x = 4(2 + -1x) + 2

Combine like terms: 2x + 6x = 8x
-2 + 8x = 4(2 + -1x) + 2
-2 + 8x = (2 * 4 + -1x * 4) + 2
-2 + 8x = (8 + -4x) + 2

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

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

Solving
-2 + 8x = 10 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-2 + 8x + 4x = 10 + -4x + 4x

Combine like terms: 8x + 4x = 12x
-2 + 12x = 10 + -4x + 4x

Combine like terms: -4x + 4x = 0
-2 + 12x = 10 + 0
-2 + 12x = 10

Add '2' to each side of the equation.
-2 + 2 + 12x = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 12x = 10 + 2
12x = 10 + 2

Combine like terms: 10 + 2 = 12
12x = 12

Divide each side by '12'.
x = 1

Simplifying
x = 1

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