x(x+1)-x(x+2)+3x=6

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Solution for x(x+1)-x(x+2)+3x=6 equation: 


Simplifying
x(x + 1) + -1x(x + 2) + 3x = 6

Reorder the terms:
x(1 + x) + -1x(x + 2) + 3x = 6
(1 * x + x * x) + -1x(x + 2) + 3x = 6
(1x + x2) + -1x(x + 2) + 3x = 6

Reorder the terms:
1x + x2 + -1x(2 + x) + 3x = 6
1x + x2 + (2 * -1x + x * -1x) + 3x = 6
1x + x2 + (-2x + -1x2) + 3x = 6

Reorder the terms:
1x + -2x + 3x + x2 + -1x2 = 6

Combine like terms: 1x + -2x = -1x
-1x + 3x + x2 + -1x2 = 6

Combine like terms: -1x + 3x = 2x
2x + x2 + -1x2 = 6

Combine like terms: x2 + -1x2 = 0
2x + 0 = 6
2x = 6

Solving
2x = 6

Solving for variable 'x'.

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

Divide each side by '2'.
x = 3

Simplifying
x = 3

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