3-8(5+n)=-n+5

Solution for 3-8(5+n)=-n+5 equation:

Simplifying
3 + -8(5 + n) = -1n + 5
3 + (5 * -8 + n * -8) = -1n + 5
3 + (-40 + -8n) = -1n + 5

Combine like terms: 3 + -40 = -37
-37 + -8n = -1n + 5

Reorder the terms:
-37 + -8n = 5 + -1n

Solving
-37 + -8n = 5 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
-37 + -8n + n = 5 + -1n + n

Combine like terms: -8n + n = -7n
-37 + -7n = 5 + -1n + n

Combine like terms: -1n + n = 0
-37 + -7n = 5 + 0
-37 + -7n = 5

Add '37' to each side of the equation.
-37 + 37 + -7n = 5 + 37

Combine like terms: -37 + 37 = 0
0 + -7n = 5 + 37
-7n = 5 + 37

Combine like terms: 5 + 37 = 42
-7n = 42

Divide each side by '-7'.
n = -6

Simplifying
n = -6