7(n-4)-(5-2n)=8n

Solution for 7(n-4)-(5-2n)=8n equation:

Simplifying
7(n + -4) + -1(5 + -2n) = 8n

Reorder the terms:
7(-4 + n) + -1(5 + -2n) = 8n
(-4 * 7 + n * 7) + -1(5 + -2n) = 8n
(-28 + 7n) + -1(5 + -2n) = 8n
-28 + 7n + (5 * -1 + -2n * -1) = 8n
-28 + 7n + (-5 + 2n) = 8n

Reorder the terms:
-28 + -5 + 7n + 2n = 8n

Combine like terms: -28 + -5 = -33
-33 + 7n + 2n = 8n

Combine like terms: 7n + 2n = 9n
-33 + 9n = 8n

Solving
-33 + 9n = 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
-33 + 9n + -8n = 8n + -8n

Combine like terms: 9n + -8n = 1n
-33 + 1n = 8n + -8n

Combine like terms: 8n + -8n = 0
-33 + 1n = 0

Add '33' to each side of the equation.
-33 + 33 + 1n = 0 + 33

Combine like terms: -33 + 33 = 0
0 + 1n = 0 + 33
1n = 0 + 33

Combine like terms: 0 + 33 = 33
1n = 33

Divide each side by '1'.
n = 33

Simplifying
n = 33