2(x+3)2-18=0

Solution for 2(x+3)2-18=0 equation:

Simplifying
2(x + 3) * 2 + -18 = 0

Reorder the terms:
2(3 + x) * 2 + -18 = 0

Reorder the terms for easier multiplication:
2 * 2(3 + x) + -18 = 0

Multiply 2 * 2
4(3 + x) + -18 = 0
(3 * 4 + x * 4) + -18 = 0
(12 + 4x) + -18 = 0

Reorder the terms:
12 + -18 + 4x = 0

Combine like terms: 12 + -18 = -6
-6 + 4x = 0

Solving
-6 + 4x = 0

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 + 4x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = 0 + 6
4x = 0 + 6

Combine like terms: 0 + 6 = 6
4x = 6

Divide each side by '4'.
x = 1.5

Simplifying
x = 1.5