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

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


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

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

Remove parenthesis around (-2 + 6x)
-2 + 6x + -1(2x + 4) = 2

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

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

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

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

Solving
-6 + 4x = 2

Solving for variable 'x'.

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

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

Combine like terms: -6 + 6 = 0
0 + 4x = 2 + 6
4x = 2 + 6

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

Divide each side by '4'.
x = 2

Simplifying
x = 2

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