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

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


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

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

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

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

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

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

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

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

Combine like terms: 5x + -2x = 3x
-6 + -5x + x2 = (-10 + 3x + x2)

Add '-1x2' to each side of the equation.
-6 + -5x + x2 + -1x2 = -10 + 3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6 + -5x + 0 = -10 + 3x + x2 + -1x2
-6 + -5x = -10 + 3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6 + -5x = -10 + 3x + 0
-6 + -5x = -10 + 3x

Solving
-6 + -5x = -10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-6 + -5x + -3x = -10 + 3x + -3x

Combine like terms: -5x + -3x = -8x
-6 + -8x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + -8x = -10 + 0
-6 + -8x = -10

Add '6' to each side of the equation.
-6 + 6 + -8x = -10 + 6

Combine like terms: -6 + 6 = 0
0 + -8x = -10 + 6
-8x = -10 + 6

Combine like terms: -10 + 6 = -4
-8x = -4

Divide each side by '-8'.
x = 0.5

Simplifying
x = 0.5

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