2(n+73)=3(n-41)

Solution for 2(n+73)=3(n-41) equation:

Simplifying
2(n + 73) = 3(n + -41)

Reorder the terms:
2(73 + n) = 3(n + -41)
(73 * 2 + n * 2) = 3(n + -41)
(146 + 2n) = 3(n + -41)

Reorder the terms:
146 + 2n = 3(-41 + n)
146 + 2n = (-41 * 3 + n * 3)
146 + 2n = (-123 + 3n)

Solving
146 + 2n = -123 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
146 + 2n + -3n = -123 + 3n + -3n

Combine like terms: 2n + -3n = -1n
146 + -1n = -123 + 3n + -3n

Combine like terms: 3n + -3n = 0
146 + -1n = -123 + 0
146 + -1n = -123

Add '-146' to each side of the equation.
146 + -146 + -1n = -123 + -146

Combine like terms: 146 + -146 = 0
0 + -1n = -123 + -146
-1n = -123 + -146

Combine like terms: -123 + -146 = -269
-1n = -269

Divide each side by '-1'.
n = 269

Simplifying
n = 269