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

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

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

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

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

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

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

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

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

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

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

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

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

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

Solving
10 + 7x = 6 + -7x

Solving for variable 'x'.

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

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

Combine like terms: 7x + 7x = 14x
10 + 14x = 6 + -7x + 7x

Combine like terms: -7x + 7x = 0
10 + 14x = 6 + 0
10 + 14x = 6

Add '-10' to each side of the equation.
10 + -10 + 14x = 6 + -10

Combine like terms: 10 + -10 = 0
0 + 14x = 6 + -10
14x = 6 + -10

Combine like terms: 6 + -10 = -4
14x = -4

Divide each side by '14'.
x = -0.2857142857

Simplifying
x = -0.2857142857