x(x+8)=(x+1)[(x+1)+5]

Solution for x(x+8)=(x+1)[(x+1)+5] equation:

Simplifying
x(x + 8) = (x + 1)[(x + 1) + 5]

Reorder the terms:
x(8 + x) = (x + 1)[(x + 1) + 5]
(8 * x + x * x) = (x + 1)[(x + 1) + 5]
(8x + x2) = (x + 1)[(x + 1) + 5]

Reorder the terms:
8x + x2 = (1 + x)[(x + 1) + 5]

Reorder the terms:
8x + x2 = (1 + x)[(1 + x) + 5]

Remove parenthesis around (1 + x)
8x + x2 = (1 + x)[1 + x + 5]

Reorder the terms:
8x + x2 = (1 + x)[1 + 5 + x]

Combine like terms: 1 + 5 = 6
8x + x2 = (1 + x)[6 + x]

Multiply (1 + x) * [6 + x]
8x + x2 = (1[6 + x] + x[6 + x])
8x + x2 = ([6 * 1 + x * 1] + x[6 + x])
8x + x2 = ([6 + 1x] + x[6 + x])
8x + x2 = (6 + 1x + [6 * x + x * x])
8x + x2 = (6 + 1x + [6x + x2])

Combine like terms: 1x + 6x = 7x
8x + x2 = (6 + 7x + x2)

Add '-1x2' to each side of the equation.
8x + x2 + -1x2 = 6 + 7x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8x + 0 = 6 + 7x + x2 + -1x2
8x = 6 + 7x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8x = 6 + 7x + 0
8x = 6 + 7x

Solving
8x = 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.
8x + -7x = 6 + 7x + -7x

Combine like terms: 8x + -7x = 1x
1x = 6 + 7x + -7x

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

Divide each side by '1'.
x = 6

Simplifying
x = 6