-3(7-3n)+2n=5(2n-4)

Solution for -3(7-3n)+2n=5(2n-4) equation:

Simplifying
-3(7 + -3n) + 2n = 5(2n + -4)
(7 * -3 + -3n * -3) + 2n = 5(2n + -4)
(-21 + 9n) + 2n = 5(2n + -4)

Combine like terms: 9n + 2n = 11n
-21 + 11n = 5(2n + -4)

Reorder the terms:
-21 + 11n = 5(-4 + 2n)
-21 + 11n = (-4 * 5 + 2n * 5)
-21 + 11n = (-20 + 10n)

Solving
-21 + 11n = -20 + 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.
-21 + 11n + -10n = -20 + 10n + -10n

Combine like terms: 11n + -10n = 1n
-21 + 1n = -20 + 10n + -10n

Combine like terms: 10n + -10n = 0
-21 + 1n = -20 + 0
-21 + 1n = -20

Add '21' to each side of the equation.
-21 + 21 + 1n = -20 + 21

Combine like terms: -21 + 21 = 0
0 + 1n = -20 + 21
1n = -20 + 21

Combine like terms: -20 + 21 = 1
1n = 1

Divide each side by '1'.
n = 1

Simplifying
n = 1