-5(n-10)-(n+2)=20

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Solution for -5(n-10)-(n+2)=20 equation: 


Simplifying
-5(n + -10) + -1(n + 2) = 20

Reorder the terms:
-5(-10 + n) + -1(n + 2) = 20
(-10 * -5 + n * -5) + -1(n + 2) = 20
(50 + -5n) + -1(n + 2) = 20

Reorder the terms:
50 + -5n + -1(2 + n) = 20
50 + -5n + (2 * -1 + n * -1) = 20
50 + -5n + (-2 + -1n) = 20

Reorder the terms:
50 + -2 + -5n + -1n = 20

Combine like terms: 50 + -2 = 48
48 + -5n + -1n = 20

Combine like terms: -5n + -1n = -6n
48 + -6n = 20

Solving
48 + -6n = 20

Solving for variable 'n'.

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

Add '-48' to each side of the equation.
48 + -48 + -6n = 20 + -48

Combine like terms: 48 + -48 = 0
0 + -6n = 20 + -48
-6n = 20 + -48

Combine like terms: 20 + -48 = -28
-6n = -28

Divide each side by '-6'.
n = 4.666666667

Simplifying
n = 4.666666667

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