(5-7x)3+6=0

Solution for (5-7x)3+6=0 equation:

Simplifying
(5 + -7x) * 3 + 6 = 0

Reorder the terms for easier multiplication:
3(5 + -7x) + 6 = 0
(5 * 3 + -7x * 3) + 6 = 0
(15 + -21x) + 6 = 0

Reorder the terms:
15 + 6 + -21x = 0

Combine like terms: 15 + 6 = 21
21 + -21x = 0

Solving
21 + -21x = 0

Solving for variable 'x'.

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

Add '-21' to each side of the equation.
21 + -21 + -21x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -21x = 0 + -21
-21x = 0 + -21

Combine like terms: 0 + -21 = -21
-21x = -21

Divide each side by '-21'.
x = 1

Simplifying
x = 1