2(3x+7)=9-(12x-8)

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Solution for 2(3x+7)=9-(12x-8) equation:


Simplifying
2(3x + 7) = 9 + -1(12x + -8)

Reorder the terms:
2(7 + 3x) = 9 + -1(12x + -8)
(7 * 2 + 3x * 2) = 9 + -1(12x + -8)
(14 + 6x) = 9 + -1(12x + -8)

Reorder the terms:
14 + 6x = 9 + -1(-8 + 12x)
14 + 6x = 9 + (-8 * -1 + 12x * -1)
14 + 6x = 9 + (8 + -12x)

Combine like terms: 9 + 8 = 17
14 + 6x = 17 + -12x

Solving
14 + 6x = 17 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
14 + 6x + 12x = 17 + -12x + 12x

Combine like terms: 6x + 12x = 18x
14 + 18x = 17 + -12x + 12x

Combine like terms: -12x + 12x = 0
14 + 18x = 17 + 0
14 + 18x = 17

Add '-14' to each side of the equation.
14 + -14 + 18x = 17 + -14

Combine like terms: 14 + -14 = 0
0 + 18x = 17 + -14
18x = 17 + -14

Combine like terms: 17 + -14 = 3
18x = 3

Divide each side by '18'.
x = 0.1666666667

Simplifying
x = 0.1666666667

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