4(n-5)-(3-7n)=10

Solution for 4(n-5)-(3-7n)=10 equation:

Simplifying
4(n + -5) + -1(3 + -7n) = 10

Reorder the terms:
4(-5 + n) + -1(3 + -7n) = 10
(-5 * 4 + n * 4) + -1(3 + -7n) = 10
(-20 + 4n) + -1(3 + -7n) = 10
-20 + 4n + (3 * -1 + -7n * -1) = 10
-20 + 4n + (-3 + 7n) = 10

Reorder the terms:
-20 + -3 + 4n + 7n = 10

Combine like terms: -20 + -3 = -23
-23 + 4n + 7n = 10

Combine like terms: 4n + 7n = 11n
-23 + 11n = 10

Solving
-23 + 11n = 10

Solving for variable 'n'.

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

Add '23' to each side of the equation.
-23 + 23 + 11n = 10 + 23

Combine like terms: -23 + 23 = 0
0 + 11n = 10 + 23
11n = 10 + 23

Combine like terms: 10 + 23 = 33
11n = 33

Divide each side by '11'.
n = 3

Simplifying
n = 3