x+6(x+1)=27

Solution for x+6(x+1)=27 equation:

Simplifying
x + 6(x + 1) = 27

Reorder the terms:
x + 6(1 + x) = 27
x + (1 * 6 + x * 6) = 27
x + (6 + 6x) = 27

Reorder the terms:
6 + x + 6x = 27

Combine like terms: x + 6x = 7x
6 + 7x = 27

Solving
6 + 7x = 27

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 + 7x = 27 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 27 + -6
7x = 27 + -6

Combine like terms: 27 + -6 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3