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

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


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

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

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

Solving
-2 + 6x = -16 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-2 + 6x + -8x = -16 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-2 + -2x = -16 + 8x + -8x

Combine like terms: 8x + -8x = 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 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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