2(x+3)+6(3x-1)=60

Solution for 2(x+3)+6(3x-1)=60 equation:

Simplifying
2(x + 3) + 6(3x + -1) = 60

Reorder the terms:
2(3 + x) + 6(3x + -1) = 60
(3 * 2 + x * 2) + 6(3x + -1) = 60
(6 + 2x) + 6(3x + -1) = 60

Reorder the terms:
6 + 2x + 6(-1 + 3x) = 60
6 + 2x + (-1 * 6 + 3x * 6) = 60
6 + 2x + (-6 + 18x) = 60

Reorder the terms:
6 + -6 + 2x + 18x = 60

Combine like terms: 6 + -6 = 0
0 + 2x + 18x = 60
2x + 18x = 60

Combine like terms: 2x + 18x = 20x
20x = 60

Solving
20x = 60

Solving for variable 'x'.

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

Divide each side by '20'.
x = 3

Simplifying
x = 3