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

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

Simplifying
4(n + -5) = 3(-1n + 2)

Reorder the terms:
4(-5 + n) = 3(-1n + 2)
(-5 * 4 + n * 4) = 3(-1n + 2)
(-20 + 4n) = 3(-1n + 2)

Reorder the terms:
-20 + 4n = 3(2 + -1n)
-20 + 4n = (2 * 3 + -1n * 3)
-20 + 4n = (6 + -3n)

Solving
-20 + 4n = 6 + -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.
-20 + 4n + 3n = 6 + -3n + 3n

Combine like terms: 4n + 3n = 7n
-20 + 7n = 6 + -3n + 3n

Combine like terms: -3n + 3n = 0
-20 + 7n = 6 + 0
-20 + 7n = 6

Add '20' to each side of the equation.
-20 + 20 + 7n = 6 + 20

Combine like terms: -20 + 20 = 0
0 + 7n = 6 + 20
7n = 6 + 20

Combine like terms: 6 + 20 = 26
7n = 26

Divide each side by '7'.
n = 3.714285714

Simplifying
n = 3.714285714