10(x+6)2-9=(15x+1)3-8

Solution for 10(x+6)2-9=(15x+1)3-8 equation:

Simplifying
10(x + 6) * 2 + -9 = (15x + 1) * 3 + -8

Reorder the terms:
10(6 + x) * 2 + -9 = (15x + 1) * 3 + -8

Reorder the terms for easier multiplication:
10 * 2(6 + x) + -9 = (15x + 1) * 3 + -8

Multiply 10 * 2
20(6 + x) + -9 = (15x + 1) * 3 + -8
(6 * 20 + x * 20) + -9 = (15x + 1) * 3 + -8
(120 + 20x) + -9 = (15x + 1) * 3 + -8

Reorder the terms:
120 + -9 + 20x = (15x + 1) * 3 + -8

Combine like terms: 120 + -9 = 111
111 + 20x = (15x + 1) * 3 + -8

Reorder the terms:
111 + 20x = (1 + 15x) * 3 + -8

Reorder the terms for easier multiplication:
111 + 20x = 3(1 + 15x) + -8
111 + 20x = (1 * 3 + 15x * 3) + -8
111 + 20x = (3 + 45x) + -8

Reorder the terms:
111 + 20x = 3 + -8 + 45x

Combine like terms: 3 + -8 = -5
111 + 20x = -5 + 45x

Solving
111 + 20x = -5 + 45x

Solving for variable 'x'.

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

Add '-45x' to each side of the equation.
111 + 20x + -45x = -5 + 45x + -45x

Combine like terms: 20x + -45x = -25x
111 + -25x = -5 + 45x + -45x

Combine like terms: 45x + -45x = 0
111 + -25x = -5 + 0
111 + -25x = -5

Add '-111' to each side of the equation.
111 + -111 + -25x = -5 + -111

Combine like terms: 111 + -111 = 0
0 + -25x = -5 + -111
-25x = -5 + -111

Combine like terms: -5 + -111 = -116
-25x = -116

Divide each side by '-25'.
x = 4.64

Simplifying
x = 4.64