6(x+8)=-6(2x-6)+9x

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Solution for 6(x+8)=-6(2x-6)+9x equation:


Simplifying
6(x + 8) = -6(2x + -6) + 9x

Reorder the terms:
6(8 + x) = -6(2x + -6) + 9x
(8 * 6 + x * 6) = -6(2x + -6) + 9x
(48 + 6x) = -6(2x + -6) + 9x

Reorder the terms:
48 + 6x = -6(-6 + 2x) + 9x
48 + 6x = (-6 * -6 + 2x * -6) + 9x
48 + 6x = (36 + -12x) + 9x

Combine like terms: -12x + 9x = -3x
48 + 6x = 36 + -3x

Solving
48 + 6x = 36 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
48 + 6x + 3x = 36 + -3x + 3x

Combine like terms: 6x + 3x = 9x
48 + 9x = 36 + -3x + 3x

Combine like terms: -3x + 3x = 0
48 + 9x = 36 + 0
48 + 9x = 36

Add '-48' to each side of the equation.
48 + -48 + 9x = 36 + -48

Combine like terms: 48 + -48 = 0
0 + 9x = 36 + -48
9x = 36 + -48

Combine like terms: 36 + -48 = -12
9x = -12

Divide each side by '9'.
x = -1.333333333

Simplifying
x = -1.333333333

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