6(6x+1)=36+6

Solution for 6(6x+1)=36+6 equation:

Simplifying
6(6x + 1) = 36 + 6

Reorder the terms:
6(1 + 6x) = 36 + 6
(1 * 6 + 6x * 6) = 36 + 6
(6 + 36x) = 36 + 6

Combine like terms: 36 + 6 = 42
6 + 36x = 42

Solving
6 + 36x = 42

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 36x = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 36x = 42 + -6
36x = 42 + -6

Combine like terms: 42 + -6 = 36
36x = 36

Divide each side by '36'.
x = 1

Simplifying
x = 1