2(x+4)=6x-8

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Solution for 2(x+4)=6x-8 equation:


Simplifying
2(x + 4) = 6x + -8

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

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

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

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

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

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

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

Combine like terms: -8 + -8 = -16
-4x = -16

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

Simplifying
x = 4

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