(x+2)+(x+6)=x*(2+6)

Solution for (x+2)+(x+6)=x*(2+6) equation:

Simplifying
(x + 2) + (x + 6) = x(2 + 6)

Reorder the terms:
(2 + x) + (x + 6) = x(2 + 6)

Remove parenthesis around (2 + x)
2 + x + (x + 6) = x(2 + 6)

Reorder the terms:
2 + x + (6 + x) = x(2 + 6)

Remove parenthesis around (6 + x)
2 + x + 6 + x = x(2 + 6)

Reorder the terms:
2 + 6 + x + x = x(2 + 6)

Combine like terms: 2 + 6 = 8
8 + x + x = x(2 + 6)

Combine like terms: x + x = 2x
8 + 2x = x(2 + 6)

Combine like terms: 2 + 6 = 8
8 + 2x = x(8)

Reorder the terms for easier multiplication:
8 + 2x = 8x

Solving
8 + 2x = 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.
8 + 2x + -8x = 8x + -8x

Combine like terms: 2x + -8x = -6x
8 + -6x = 8x + -8x

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

Add '-8' to each side of the equation.
8 + -8 + -6x = 0 + -8

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

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

Divide each side by '-6'.
x = 1.333333333

Simplifying
x = 1.333333333