8(x+9)-(3x-6)=-6(x+8)+(4x+12)

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Solution for 8(x+9)-(3x-6)=-6(x+8)+(4x+12) equation:


Simplifying
8(x + 9) + -1(3x + -6) = -6(x + 8) + (4x + 12)

Reorder the terms:
8(9 + x) + -1(3x + -6) = -6(x + 8) + (4x + 12)
(9 * 8 + x * 8) + -1(3x + -6) = -6(x + 8) + (4x + 12)
(72 + 8x) + -1(3x + -6) = -6(x + 8) + (4x + 12)

Reorder the terms:
72 + 8x + -1(-6 + 3x) = -6(x + 8) + (4x + 12)
72 + 8x + (-6 * -1 + 3x * -1) = -6(x + 8) + (4x + 12)
72 + 8x + (6 + -3x) = -6(x + 8) + (4x + 12)

Reorder the terms:
72 + 6 + 8x + -3x = -6(x + 8) + (4x + 12)

Combine like terms: 72 + 6 = 78
78 + 8x + -3x = -6(x + 8) + (4x + 12)

Combine like terms: 8x + -3x = 5x
78 + 5x = -6(x + 8) + (4x + 12)

Reorder the terms:
78 + 5x = -6(8 + x) + (4x + 12)
78 + 5x = (8 * -6 + x * -6) + (4x + 12)
78 + 5x = (-48 + -6x) + (4x + 12)

Reorder the terms:
78 + 5x = -48 + -6x + (12 + 4x)

Remove parenthesis around (12 + 4x)
78 + 5x = -48 + -6x + 12 + 4x

Reorder the terms:
78 + 5x = -48 + 12 + -6x + 4x

Combine like terms: -48 + 12 = -36
78 + 5x = -36 + -6x + 4x

Combine like terms: -6x + 4x = -2x
78 + 5x = -36 + -2x

Solving
78 + 5x = -36 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
78 + 5x + 2x = -36 + -2x + 2x

Combine like terms: 5x + 2x = 7x
78 + 7x = -36 + -2x + 2x

Combine like terms: -2x + 2x = 0
78 + 7x = -36 + 0
78 + 7x = -36

Add '-78' to each side of the equation.
78 + -78 + 7x = -36 + -78

Combine like terms: 78 + -78 = 0
0 + 7x = -36 + -78
7x = -36 + -78

Combine like terms: -36 + -78 = -114
7x = -114

Divide each side by '7'.
x = -16.28571429

Simplifying
x = -16.28571429

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