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

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

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

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

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

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

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

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

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

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

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

Solving
6 + 7x = 8x

Solving for variable 'x'.

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

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

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

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

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

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

Divide each side by '-1'.
x = 6

Simplifying
x = 6