7(n-5)-(2-3n)=9n

Solution for 7(n-5)-(2-3n)=9n equation:

Simplifying
7(n + -5) + -1(2 + -3n) = 9n

Reorder the terms:
7(-5 + n) + -1(2 + -3n) = 9n
(-5 * 7 + n * 7) + -1(2 + -3n) = 9n
(-35 + 7n) + -1(2 + -3n) = 9n
-35 + 7n + (2 * -1 + -3n * -1) = 9n
-35 + 7n + (-2 + 3n) = 9n

Reorder the terms:
-35 + -2 + 7n + 3n = 9n

Combine like terms: -35 + -2 = -37
-37 + 7n + 3n = 9n

Combine like terms: 7n + 3n = 10n
-37 + 10n = 9n

Solving
-37 + 10n = 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
-37 + 10n + -9n = 9n + -9n

Combine like terms: 10n + -9n = 1n
-37 + 1n = 9n + -9n

Combine like terms: 9n + -9n = 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