2(3x+7)=8-(x-6)

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Solution for 2(3x+7)=8-(x-6) equation:


Simplifying
2(3x + 7) = 8 + -1(x + -6)

Reorder the terms:
2(7 + 3x) = 8 + -1(x + -6)
(7 * 2 + 3x * 2) = 8 + -1(x + -6)
(14 + 6x) = 8 + -1(x + -6)

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

Combine like terms: 8 + 6 = 14
14 + 6x = 14 + -1x

Add '-14' to each side of the equation.
14 + -14 + 6x = 14 + -14 + -1x

Combine like terms: 14 + -14 = 0
0 + 6x = 14 + -14 + -1x
6x = 14 + -14 + -1x

Combine like terms: 14 + -14 = 0
6x = 0 + -1x
6x = -1x

Solving
6x = -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
6x + x = -1x + x

Combine like terms: 6x + x = 7x
7x = -1x + x

Combine like terms: -1x + x = 0
7x = 0

Divide each side by '7'.
x = 0

Simplifying
x = 0

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