3(.5x+1)2=21

Solution for 3(.5x+1)2=21 equation:

Simplifying
3(0.5x + 1) * 2 = 21

Reorder the terms:
3(1 + 0.5x) * 2 = 21

Reorder the terms for easier multiplication:
3 * 2(1 + 0.5x) = 21

Multiply 3 * 2
6(1 + 0.5x) = 21
(1 * 6 + 0.5x * 6) = 21
(6 + 3x) = 21

Solving
6 + 3x = 21

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 + 3x = 21 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = 21 + -6
3x = 21 + -6

Combine like terms: 21 + -6 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5