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

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


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

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

Reorder the terms:
-2 + 6x = 2(8 + 2x)
-2 + 6x = (8 * 2 + 2x * 2)
-2 + 6x = (16 + 4x)

Solving
-2 + 6x = 16 + 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 + 6x + -4x = 16 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-2 + 2x = 16 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2 + 2x = 16 + 0
-2 + 2x = 16

Add '2' to each side of the equation.
-2 + 2 + 2x = 16 + 2

Combine like terms: -2 + 2 = 0
0 + 2x = 16 + 2
2x = 16 + 2

Combine like terms: 16 + 2 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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