(x+1)(x+2)-x(x+5)=6

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Solution for (x+1)(x+2)-x(x+5)=6 equation: 


Simplifying
(x + 1)(x + 2) + -1x(x + 5) = 6

Reorder the terms:
(1 + x)(x + 2) + -1x(x + 5) = 6

Reorder the terms:
(1 + x)(2 + x) + -1x(x + 5) = 6

Multiply (1 + x) * (2 + x)
(1(2 + x) + x(2 + x)) + -1x(x + 5) = 6
((2 * 1 + x * 1) + x(2 + x)) + -1x(x + 5) = 6
((2 + 1x) + x(2 + x)) + -1x(x + 5) = 6
(2 + 1x + (2 * x + x * x)) + -1x(x + 5) = 6
(2 + 1x + (2x + x2)) + -1x(x + 5) = 6

Combine like terms: 1x + 2x = 3x
(2 + 3x + x2) + -1x(x + 5) = 6

Reorder the terms:
2 + 3x + x2 + -1x(5 + x) = 6
2 + 3x + x2 + (5 * -1x + x * -1x) = 6
2 + 3x + x2 + (-5x + -1x2) = 6

Reorder the terms:
2 + 3x + -5x + x2 + -1x2 = 6

Combine like terms: 3x + -5x = -2x
2 + -2x + x2 + -1x2 = 6

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

Solving
2 + -2x = 6

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + -2x = 6 + -2

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

Combine like terms: 6 + -2 = 4
-2x = 4

Divide each side by '-2'.
x = -2

Simplifying
x = -2

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