3(x+9)=-2(4x-6)+2x

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Solution for 3(x+9)=-2(4x-6)+2x equation:


Simplifying
3(x + 9) = -2(4x + -6) + 2x

Reorder the terms:
3(9 + x) = -2(4x + -6) + 2x
(9 * 3 + x * 3) = -2(4x + -6) + 2x
(27 + 3x) = -2(4x + -6) + 2x

Reorder the terms:
27 + 3x = -2(-6 + 4x) + 2x
27 + 3x = (-6 * -2 + 4x * -2) + 2x
27 + 3x = (12 + -8x) + 2x

Combine like terms: -8x + 2x = -6x
27 + 3x = 12 + -6x

Solving
27 + 3x = 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.
27 + 3x + 6x = 12 + -6x + 6x

Combine like terms: 3x + 6x = 9x
27 + 9x = 12 + -6x + 6x

Combine like terms: -6x + 6x = 0
27 + 9x = 12 + 0
27 + 9x = 12

Add '-27' to each side of the equation.
27 + -27 + 9x = 12 + -27

Combine like terms: 27 + -27 = 0
0 + 9x = 12 + -27
9x = 12 + -27

Combine like terms: 12 + -27 = -15
9x = -15

Divide each side by '9'.
x = -1.666666667

Simplifying
x = -1.666666667

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