3(x-1)2-4=5

Solution for 3(x-1)2-4=5 equation:

Simplifying
3(x + -1) * 2 + -4 = 5

Reorder the terms:
3(-1 + x) * 2 + -4 = 5

Reorder the terms for easier multiplication:
3 * 2(-1 + x) + -4 = 5

Multiply 3 * 2
6(-1 + x) + -4 = 5
(-1 * 6 + x * 6) + -4 = 5
(-6 + 6x) + -4 = 5

Reorder the terms:
-6 + -4 + 6x = 5

Combine like terms: -6 + -4 = -10
-10 + 6x = 5

Solving
-10 + 6x = 5

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 6x = 5 + 10

Combine like terms: -10 + 10 = 0
0 + 6x = 5 + 10
6x = 5 + 10

Combine like terms: 5 + 10 = 15
6x = 15

Divide each side by '6'.
x = 2.5

Simplifying
x = 2.5