5x+15-6(x+1)=9x-10(2x-4)+3x-12+2

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Solution for 5x+15-6(x+1)=9x-10(2x-4)+3x-12+2 equation: 


Simplifying
5x + 15 + -6(x + 1) = 9x + -10(2x + -4) + 3x + -12 + 2

Reorder the terms:
5x + 15 + -6(1 + x) = 9x + -10(2x + -4) + 3x + -12 + 2
5x + 15 + (1 * -6 + x * -6) = 9x + -10(2x + -4) + 3x + -12 + 2
5x + 15 + (-6 + -6x) = 9x + -10(2x + -4) + 3x + -12 + 2

Reorder the terms:
15 + -6 + 5x + -6x = 9x + -10(2x + -4) + 3x + -12 + 2

Combine like terms: 15 + -6 = 9
9 + 5x + -6x = 9x + -10(2x + -4) + 3x + -12 + 2

Combine like terms: 5x + -6x = -1x
9 + -1x = 9x + -10(2x + -4) + 3x + -12 + 2

Reorder the terms:
9 + -1x = 9x + -10(-4 + 2x) + 3x + -12 + 2
9 + -1x = 9x + (-4 * -10 + 2x * -10) + 3x + -12 + 2
9 + -1x = 9x + (40 + -20x) + 3x + -12 + 2

Reorder the terms:
9 + -1x = 40 + -12 + 2 + 9x + -20x + 3x

Combine like terms: 40 + -12 = 28
9 + -1x = 28 + 2 + 9x + -20x + 3x

Combine like terms: 28 + 2 = 30
9 + -1x = 30 + 9x + -20x + 3x

Combine like terms: 9x + -20x = -11x
9 + -1x = 30 + -11x + 3x

Combine like terms: -11x + 3x = -8x
9 + -1x = 30 + -8x

Solving
9 + -1x = 30 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
9 + -1x + 8x = 30 + -8x + 8x

Combine like terms: -1x + 8x = 7x
9 + 7x = 30 + -8x + 8x

Combine like terms: -8x + 8x = 0
9 + 7x = 30 + 0
9 + 7x = 30

Add '-9' to each side of the equation.
9 + -9 + 7x = 30 + -9

Combine like terms: 9 + -9 = 0
0 + 7x = 30 + -9
7x = 30 + -9

Combine like terms: 30 + -9 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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