7n-4(5-2n)=10

Solution for 7n-4(5-2n)=10 equation:

Simplifying
7n + -4(5 + -2n) = 10
7n + (5 * -4 + -2n * -4) = 10
7n + (-20 + 8n) = 10

Reorder the terms:
-20 + 7n + 8n = 10

Combine like terms: 7n + 8n = 15n
-20 + 15n = 10

Solving
-20 + 15n = 10

Solving for variable 'n'.

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

Add '20' to each side of the equation.
-20 + 20 + 15n = 10 + 20

Combine like terms: -20 + 20 = 0
0 + 15n = 10 + 20
15n = 10 + 20

Combine like terms: 10 + 20 = 30
15n = 30

Divide each side by '15'.
n = 2

Simplifying
n = 2