(2x+1)(x+5)-8=2(x+1)(x+3)

Solution for (2x+1)(x+5)-8=2(x+1)(x+3) equation:

Simplifying
(2x + 1)(x + 5) + -8 = 2(x + 1)(x + 3)

Reorder the terms:
(1 + 2x)(x + 5) + -8 = 2(x + 1)(x + 3)

Reorder the terms:
(1 + 2x)(5 + x) + -8 = 2(x + 1)(x + 3)

Multiply (1 + 2x) * (5 + x)
(1(5 + x) + 2x * (5 + x)) + -8 = 2(x + 1)(x + 3)
((5 * 1 + x * 1) + 2x * (5 + x)) + -8 = 2(x + 1)(x + 3)
((5 + 1x) + 2x * (5 + x)) + -8 = 2(x + 1)(x + 3)
(5 + 1x + (5 * 2x + x * 2x)) + -8 = 2(x + 1)(x + 3)
(5 + 1x + (10x + 2x2)) + -8 = 2(x + 1)(x + 3)

Combine like terms: 1x + 10x = 11x
(5 + 11x + 2x2) + -8 = 2(x + 1)(x + 3)

Reorder the terms:
5 + -8 + 11x + 2x2 = 2(x + 1)(x + 3)

Combine like terms: 5 + -8 = -3
-3 + 11x + 2x2 = 2(x + 1)(x + 3)

Reorder the terms:
-3 + 11x + 2x2 = 2(1 + x)(x + 3)

Reorder the terms:
-3 + 11x + 2x2 = 2(1 + x)(3 + x)

Multiply (1 + x) * (3 + x)
-3 + 11x + 2x2 = 2(1(3 + x) + x(3 + x))
-3 + 11x + 2x2 = 2((3 * 1 + x * 1) + x(3 + x))
-3 + 11x + 2x2 = 2((3 + 1x) + x(3 + x))
-3 + 11x + 2x2 = 2(3 + 1x + (3 * x + x * x))
-3 + 11x + 2x2 = 2(3 + 1x + (3x + x2))

Combine like terms: 1x + 3x = 4x
-3 + 11x + 2x2 = 2(3 + 4x + x2)
-3 + 11x + 2x2 = (3 * 2 + 4x * 2 + x2 * 2)
-3 + 11x + 2x2 = (6 + 8x + 2x2)

Add '-2x2' to each side of the equation.
-3 + 11x + 2x2 + -2x2 = 6 + 8x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-3 + 11x + 0 = 6 + 8x + 2x2 + -2x2
-3 + 11x = 6 + 8x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-3 + 11x = 6 + 8x + 0
-3 + 11x = 6 + 8x

Solving
-3 + 11x = 6 + 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.
-3 + 11x + -8x = 6 + 8x + -8x

Combine like terms: 11x + -8x = 3x
-3 + 3x = 6 + 8x + -8x

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

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

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

Combine like terms: 6 + 3 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3