3(x-1)2+1=19

Solution for 3(x-1)2+1=19 equation:

Simplifying
3(x + -1) * 2 + 1 = 19

Reorder the terms:
3(-1 + x) * 2 + 1 = 19

Reorder the terms for easier multiplication:
3 * 2(-1 + x) + 1 = 19

Multiply 3 * 2
6(-1 + x) + 1 = 19
(-1 * 6 + x * 6) + 1 = 19
(-6 + 6x) + 1 = 19

Reorder the terms:
-6 + 1 + 6x = 19

Combine like terms: -6 + 1 = -5
-5 + 6x = 19

Solving
-5 + 6x = 19

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 6x = 19 + 5

Combine like terms: -5 + 5 = 0
0 + 6x = 19 + 5
6x = 19 + 5

Combine like terms: 19 + 5 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4