(x+1)2+6=42

Solution for (x+1)2+6=42 equation:

Simplifying
(x + 1) * 2 + 6 = 42

Reorder the terms:
(1 + x) * 2 + 6 = 42

Reorder the terms for easier multiplication:
2(1 + x) + 6 = 42
(1 * 2 + x * 2) + 6 = 42
(2 + 2x) + 6 = 42

Reorder the terms:
2 + 6 + 2x = 42

Combine like terms: 2 + 6 = 8
8 + 2x = 42

Solving
8 + 2x = 42

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 2x = 42 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = 42 + -8
2x = 42 + -8

Combine like terms: 42 + -8 = 34
2x = 34

Divide each side by '2'.
x = 17

Simplifying
x = 17