(x+6)-(3x+1)2=1

Solution for (x+6)-(3x+1)2=1 equation:

Simplifying
(x + 6) + -1(3x + 1) * 2 = 1

Reorder the terms:
(6 + x) + -1(3x + 1) * 2 = 1

Remove parenthesis around (6 + x)
6 + x + -1(3x + 1) * 2 = 1

Reorder the terms:
6 + x + -1(1 + 3x) * 2 = 1

Reorder the terms for easier multiplication:
6 + x + -1 * 2(1 + 3x) = 1

Multiply -1 * 2
6 + x + -2(1 + 3x) = 1
6 + x + (1 * -2 + 3x * -2) = 1
6 + x + (-2 + -6x) = 1

Reorder the terms:
6 + -2 + x + -6x = 1

Combine like terms: 6 + -2 = 4
4 + x + -6x = 1

Combine like terms: x + -6x = -5x
4 + -5x = 1

Solving
4 + -5x = 1

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + -5x = 1 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = 1 + -4
-5x = 1 + -4

Combine like terms: 1 + -4 = -3
-5x = -3

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6