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

Solution for 8n+4(-5-7n)=-2(x+1) equation:

Simplifying
8n + 4(-5 + -7n) = -2(x + 1)
8n + (-5 * 4 + -7n * 4) = -2(x + 1)
8n + (-20 + -28n) = -2(x + 1)

Reorder the terms:
-20 + 8n + -28n = -2(x + 1)

Combine like terms: 8n + -28n = -20n
-20 + -20n = -2(x + 1)

Reorder the terms:
-20 + -20n = -2(1 + x)
-20 + -20n = (1 * -2 + x * -2)
-20 + -20n = (-2 + -2x)

Solving
-20 + -20n = -2 + -2x

Solving for variable 'n'.

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

Add '20' to each side of the equation.
-20 + 20 + -20n = -2 + 20 + -2x

Combine like terms: -20 + 20 = 0
0 + -20n = -2 + 20 + -2x
-20n = -2 + 20 + -2x

Combine like terms: -2 + 20 = 18
-20n = 18 + -2x

Divide each side by '-20'.
n = -0.9 + 0.1x

Simplifying
n = -0.9 + 0.1x