2(x+2)=6x-2

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


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

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

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

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

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

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

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

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

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

Divide each side by '-4'.
x = 1.5

Simplifying
x = 1.5

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