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

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

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

Reorder the terms:
5(-7 + n) + -1(2 + -4n) = 8n
(-7 * 5 + n * 5) + -1(2 + -4n) = 8n
(-35 + 5n) + -1(2 + -4n) = 8n
-35 + 5n + (2 * -1 + -4n * -1) = 8n
-35 + 5n + (-2 + 4n) = 8n

Reorder the terms:
-35 + -2 + 5n + 4n = 8n

Combine like terms: -35 + -2 = -37
-37 + 5n + 4n = 8n

Combine like terms: 5n + 4n = 9n
-37 + 9n = 8n

Solving
-37 + 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.
-37 + 9n + -8n = 8n + -8n

Combine like terms: 9n + -8n = 1n
-37 + 1n = 8n + -8n

Combine like terms: 8n + -8n = 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