3(x-3)2+2=26

Solution for 3(x-3)2+2=26 equation:

Simplifying
3(x + -3) * 2 + 2 = 26

Reorder the terms:
3(-3 + x) * 2 + 2 = 26

Reorder the terms for easier multiplication:
3 * 2(-3 + x) + 2 = 26

Multiply 3 * 2
6(-3 + x) + 2 = 26
(-3 * 6 + x * 6) + 2 = 26
(-18 + 6x) + 2 = 26

Reorder the terms:
-18 + 2 + 6x = 26

Combine like terms: -18 + 2 = -16
-16 + 6x = 26

Solving
-16 + 6x = 26

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 6x = 26 + 16

Combine like terms: -16 + 16 = 0
0 + 6x = 26 + 16
6x = 26 + 16

Combine like terms: 26 + 16 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7