4(2x+2)=14-(2-6x)

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Solution for 4(2x+2)=14-(2-6x) equation:


Simplifying
4(2x + 2) = 14 + -1(2 + -6x)

Reorder the terms:
4(2 + 2x) = 14 + -1(2 + -6x)
(2 * 4 + 2x * 4) = 14 + -1(2 + -6x)
(8 + 8x) = 14 + -1(2 + -6x)
8 + 8x = 14 + (2 * -1 + -6x * -1)
8 + 8x = 14 + (-2 + 6x)

Combine like terms: 14 + -2 = 12
8 + 8x = 12 + 6x

Solving
8 + 8x = 12 + 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 + 8x + -6x = 12 + 6x + -6x

Combine like terms: 8x + -6x = 2x
8 + 2x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + 2x = 12 + 0
8 + 2x = 12

Add '-8' to each side of the equation.
8 + -8 + 2x = 12 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = 12 + -8
2x = 12 + -8

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

Divide each side by '2'.
x = 2

Simplifying
x = 2

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