2(3n+5)-5n=42

Solution for 2(3n+5)-5n=42 equation:

Simplifying
2(3n + 5) + -5n = 42

Reorder the terms:
2(5 + 3n) + -5n = 42
(5 * 2 + 3n * 2) + -5n = 42
(10 + 6n) + -5n = 42

Combine like terms: 6n + -5n = 1n
10 + 1n = 42

Solving
10 + 1n = 42

Solving for variable 'n'.

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

Add '-10' to each side of the equation.
10 + -10 + 1n = 42 + -10

Combine like terms: 10 + -10 = 0
0 + 1n = 42 + -10
1n = 42 + -10

Combine like terms: 42 + -10 = 32
1n = 32

Divide each side by '1'.
n = 32

Simplifying
n = 32