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

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

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

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

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

Multiply (5 + x) * (2 + x)
(5(2 + x) + x(2 + x)) = (x + 6)(x + -1)
((2 * 5 + x * 5) + x(2 + x)) = (x + 6)(x + -1)
((10 + 5x) + x(2 + x)) = (x + 6)(x + -1)
(10 + 5x + (2 * x + x * x)) = (x + 6)(x + -1)
(10 + 5x + (2x + x2)) = (x + 6)(x + -1)

Combine like terms: 5x + 2x = 7x
(10 + 7x + x2) = (x + 6)(x + -1)

Reorder the terms:
10 + 7x + x2 = (6 + x)(x + -1)

Reorder the terms:
10 + 7x + x2 = (6 + x)(-1 + x)

Multiply (6 + x) * (-1 + x)
10 + 7x + x2 = (6(-1 + x) + x(-1 + x))
10 + 7x + x2 = ((-1 * 6 + x * 6) + x(-1 + x))
10 + 7x + x2 = ((-6 + 6x) + x(-1 + x))
10 + 7x + x2 = (-6 + 6x + (-1 * x + x * x))
10 + 7x + x2 = (-6 + 6x + (-1x + x2))

Combine like terms: 6x + -1x = 5x
10 + 7x + x2 = (-6 + 5x + x2)

Add '-1x2' to each side of the equation.
10 + 7x + x2 + -1x2 = -6 + 5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
10 + 7x + 0 = -6 + 5x + x2 + -1x2
10 + 7x = -6 + 5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
10 + 7x = -6 + 5x + 0
10 + 7x = -6 + 5x

Solving
10 + 7x = -6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
10 + 7x + -5x = -6 + 5x + -5x

Combine like terms: 7x + -5x = 2x
10 + 2x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + 2x = -6 + 0
10 + 2x = -6

Add '-10' to each side of the equation.
10 + -10 + 2x = -6 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = -6 + -10
2x = -6 + -10

Combine like terms: -6 + -10 = -16
2x = -16

Divide each side by '2'.
x = -8

Simplifying
x = -8