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

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

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

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

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

Combine like terms: 8 + -4 = 4
4 + n + 2n = 7 + 4(n + -5)

Combine like terms: n + 2n = 3n
4 + 3n = 7 + 4(n + -5)

Reorder the terms:
4 + 3n = 7 + 4(-5 + n)
4 + 3n = 7 + (-5 * 4 + n * 4)
4 + 3n = 7 + (-20 + 4n)

Combine like terms: 7 + -20 = -13
4 + 3n = -13 + 4n

Solving
4 + 3n = -13 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
4 + 3n + -4n = -13 + 4n + -4n

Combine like terms: 3n + -4n = -1n
4 + -1n = -13 + 4n + -4n

Combine like terms: 4n + -4n = 0
4 + -1n = -13 + 0
4 + -1n = -13

Add '-4' to each side of the equation.
4 + -4 + -1n = -13 + -4

Combine like terms: 4 + -4 = 0
0 + -1n = -13 + -4
-1n = -13 + -4

Combine like terms: -13 + -4 = -17
-1n = -17

Divide each side by '-1'.
n = 17

Simplifying
n = 17