3(x-2)2-48=0

Solution for 3(x-2)2-48=0 equation:

Simplifying
3(x + -2) * 2 + -48 = 0

Reorder the terms:
3(-2 + x) * 2 + -48 = 0

Reorder the terms for easier multiplication:
3 * 2(-2 + x) + -48 = 0

Multiply 3 * 2
6(-2 + x) + -48 = 0
(-2 * 6 + x * 6) + -48 = 0
(-12 + 6x) + -48 = 0

Reorder the terms:
-12 + -48 + 6x = 0

Combine like terms: -12 + -48 = -60
-60 + 6x = 0

Solving
-60 + 6x = 0

Solving for variable 'x'.

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

Add '60' to each side of the equation.
-60 + 60 + 6x = 0 + 60

Combine like terms: -60 + 60 = 0
0 + 6x = 0 + 60
6x = 0 + 60

Combine like terms: 0 + 60 = 60
6x = 60

Divide each side by '6'.
x = 10

Simplifying
x = 10