3(2x^2+5)-3=162

Solution for 3(2x^2+5)-3=162 equation:

Simplifying
3(2x2 + 5) + -3 = 162

Reorder the terms:
3(5 + 2x2) + -3 = 162
(5 * 3 + 2x2 * 3) + -3 = 162
(15 + 6x2) + -3 = 162

Reorder the terms:
15 + -3 + 6x2 = 162

Combine like terms: 15 + -3 = 12
12 + 6x2 = 162

Solving
12 + 6x2 = 162

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 6x2 = 162 + -12

Combine like terms: 12 + -12 = 0
0 + 6x2 = 162 + -12
6x2 = 162 + -12

Combine like terms: 162 + -12 = 150
6x2 = 150

Divide each side by '6'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}