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

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


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

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

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

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

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

Combine like terms: 6x + -6x = 0
8 + -2x = -4 + 0
8 + -2x = -4

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

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

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

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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