6(x+2)-5(x-5)=60

Solution for 6(x+2)-5(x-5)=60 equation:

Simplifying
6(x + 2) + -5(x + -5) = 60

Reorder the terms:
6(2 + x) + -5(x + -5) = 60
(2 * 6 + x * 6) + -5(x + -5) = 60
(12 + 6x) + -5(x + -5) = 60

Reorder the terms:
12 + 6x + -5(-5 + x) = 60
12 + 6x + (-5 * -5 + x * -5) = 60
12 + 6x + (25 + -5x) = 60

Reorder the terms:
12 + 25 + 6x + -5x = 60

Combine like terms: 12 + 25 = 37
37 + 6x + -5x = 60

Combine like terms: 6x + -5x = 1x
37 + 1x = 60

Solving
37 + 1x = 60

Solving for variable 'x'.

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

Add '-37' to each side of the equation.
37 + -37 + 1x = 60 + -37

Combine like terms: 37 + -37 = 0
0 + 1x = 60 + -37
1x = 60 + -37

Combine like terms: 60 + -37 = 23
1x = 23

Divide each side by '1'.
x = 23

Simplifying
x = 23