6(x+5)+20x=82

Solution for 6(x+5)+20x=82 equation:

Simplifying
6(x + 5) + 20x = 82

Reorder the terms:
6(5 + x) + 20x = 82
(5 * 6 + x * 6) + 20x = 82
(30 + 6x) + 20x = 82

Combine like terms: 6x + 20x = 26x
30 + 26x = 82

Solving
30 + 26x = 82

Solving for variable 'x'.

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

Add '-30' to each side of the equation.
30 + -30 + 26x = 82 + -30

Combine like terms: 30 + -30 = 0
0 + 26x = 82 + -30
26x = 82 + -30

Combine like terms: 82 + -30 = 52
26x = 52

Divide each side by '26'.
x = 2

Simplifying
x = 2