3x(x+1)-x(3x-6)=8x+1

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Solution for 3x(x+1)-x(3x-6)=8x+1 equation: 


Simplifying
3x(x + 1) + -1x(3x + -6) = 8x + 1

Reorder the terms:
3x(1 + x) + -1x(3x + -6) = 8x + 1
(1 * 3x + x * 3x) + -1x(3x + -6) = 8x + 1
(3x + 3x2) + -1x(3x + -6) = 8x + 1

Reorder the terms:
3x + 3x2 + -1x(-6 + 3x) = 8x + 1
3x + 3x2 + (-6 * -1x + 3x * -1x) = 8x + 1
3x + 3x2 + (6x + -3x2) = 8x + 1

Reorder the terms:
3x + 6x + 3x2 + -3x2 = 8x + 1

Combine like terms: 3x + 6x = 9x
9x + 3x2 + -3x2 = 8x + 1

Combine like terms: 3x2 + -3x2 = 0
9x + 0 = 8x + 1
9x = 8x + 1

Reorder the terms:
9x = 1 + 8x

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

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

Combine like terms: 8x + -8x = 0
1x = 1 + 0
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1

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