5n+3(5-5)=2n+57

Solution for 5n+3(5-5)=2n+57 equation:

Simplifying
5n + 3(5 + -5) = 2n + 57

Combine like terms: 5 + -5 = 0
5n + 3(0) = 2n + 57

Multiply 3 * 0
5n + 0 = 2n + 57

Anything times zero is zero.
5n + 0 = 2n + 57

Reorder the terms:
0 + 5n = 2n + 57
Remove the zero:
5n = 2n + 57

Reorder the terms:
5n = 57 + 2n

Solving
5n = 57 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
5n + -2n = 57 + 2n + -2n

Combine like terms: 5n + -2n = 3n
3n = 57 + 2n + -2n

Combine like terms: 2n + -2n = 0
3n = 57 + 0
3n = 57

Divide each side by '3'.
n = 19

Simplifying
n = 19