(x+2)(x+8)=2(5x+16)

Solution for (x+2)(x+8)=2(5x+16) equation:

Simplifying
(x + 2)(x + 8) = 2(5x + 16)

Reorder the terms:
(2 + x)(x + 8) = 2(5x + 16)

Reorder the terms:
(2 + x)(8 + x) = 2(5x + 16)

Multiply (2 + x) * (8 + x)
(2(8 + x) + x(8 + x)) = 2(5x + 16)
((8 * 2 + x * 2) + x(8 + x)) = 2(5x + 16)
((16 + 2x) + x(8 + x)) = 2(5x + 16)
(16 + 2x + (8 * x + x * x)) = 2(5x + 16)
(16 + 2x + (8x + x2)) = 2(5x + 16)

Combine like terms: 2x + 8x = 10x
(16 + 10x + x2) = 2(5x + 16)

Reorder the terms:
16 + 10x + x2 = 2(16 + 5x)
16 + 10x + x2 = (16 * 2 + 5x * 2)
16 + 10x + x2 = (32 + 10x)

Add '-10x' to each side of the equation.
16 + 10x + -10x + x2 = 32 + 10x + -10x

Combine like terms: 10x + -10x = 0
16 + 0 + x2 = 32 + 10x + -10x
16 + x2 = 32 + 10x + -10x

Combine like terms: 10x + -10x = 0
16 + x2 = 32 + 0
16 + x2 = 32

Solving
16 + x2 = 32

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + x2 = 32 + -16

Combine like terms: 16 + -16 = 0
0 + x2 = 32 + -16
x2 = 32 + -16

Combine like terms: 32 + -16 = 16
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}