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

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

Simplifying
7(n + -5) + -1(2 + -4n) = 10n

Reorder the terms:
7(-5 + n) + -1(2 + -4n) = 10n
(-5 * 7 + n * 7) + -1(2 + -4n) = 10n
(-35 + 7n) + -1(2 + -4n) = 10n
-35 + 7n + (2 * -1 + -4n * -1) = 10n
-35 + 7n + (-2 + 4n) = 10n

Reorder the terms:
-35 + -2 + 7n + 4n = 10n

Combine like terms: -35 + -2 = -37
-37 + 7n + 4n = 10n

Combine like terms: 7n + 4n = 11n
-37 + 11n = 10n

Solving
-37 + 11n = 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
-37 + 11n + -10n = 10n + -10n

Combine like terms: 11n + -10n = 1n
-37 + 1n = 10n + -10n

Combine like terms: 10n + -10n = 0
-37 + 1n = 0

Add '37' to each side of the equation.
-37 + 37 + 1n = 0 + 37

Combine like terms: -37 + 37 = 0
0 + 1n = 0 + 37
1n = 0 + 37

Combine like terms: 0 + 37 = 37
1n = 37

Divide each side by '1'.
n = 37

Simplifying
n = 37