3(n-2)=4(n+5)

Solution for 3(n-2)=4(n+5) equation:

Simplifying
3(n + -2) = 4(n + 5)

Reorder the terms:
3(-2 + n) = 4(n + 5)
(-2 * 3 + n * 3) = 4(n + 5)
(-6 + 3n) = 4(n + 5)

Reorder the terms:
-6 + 3n = 4(5 + n)
-6 + 3n = (5 * 4 + n * 4)
-6 + 3n = (20 + 4n)

Solving
-6 + 3n = 20 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-6 + 3n + -4n = 20 + 4n + -4n

Combine like terms: 3n + -4n = -1n
-6 + -1n = 20 + 4n + -4n

Combine like terms: 4n + -4n = 0
-6 + -1n = 20 + 0
-6 + -1n = 20

Add '6' to each side of the equation.
-6 + 6 + -1n = 20 + 6

Combine like terms: -6 + 6 = 0
0 + -1n = 20 + 6
-1n = 20 + 6

Combine like terms: 20 + 6 = 26
-1n = 26

Divide each side by '-1'.
n = -26

Simplifying
n = -26