3(2x+1)2=27

Solution for 3(2x+1)2=27 equation:

Simplifying
3(2x + 1) * 2 = 27

Reorder the terms:
3(1 + 2x) * 2 = 27

Reorder the terms for easier multiplication:
3 * 2(1 + 2x) = 27

Multiply 3 * 2
6(1 + 2x) = 27
(1 * 6 + 2x * 6) = 27
(6 + 12x) = 27

Solving
6 + 12x = 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 + 12x = 27 + -6

Combine like terms: 6 + -6 = 0
0 + 12x = 27 + -6
12x = 27 + -6

Combine like terms: 27 + -6 = 21
12x = 21

Divide each side by '12'.
x = 1.75

Simplifying
x = 1.75