3(6x+2)=8(2x-2)

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Solution for 3(6x+2)=8(2x-2) equation:


Simplifying
3(6x + 2) = 8(2x + -2)

Reorder the terms:
3(2 + 6x) = 8(2x + -2)
(2 * 3 + 6x * 3) = 8(2x + -2)
(6 + 18x) = 8(2x + -2)

Reorder the terms:
6 + 18x = 8(-2 + 2x)
6 + 18x = (-2 * 8 + 2x * 8)
6 + 18x = (-16 + 16x)

Solving
6 + 18x = -16 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
6 + 18x + -16x = -16 + 16x + -16x

Combine like terms: 18x + -16x = 2x
6 + 2x = -16 + 16x + -16x

Combine like terms: 16x + -16x = 0
6 + 2x = -16 + 0
6 + 2x = -16

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

Combine like terms: 6 + -6 = 0
0 + 2x = -16 + -6
2x = -16 + -6

Combine like terms: -16 + -6 = -22
2x = -22

Divide each side by '2'.
x = -11

Simplifying
x = -11

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