5(11+n)=2(n+5)

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Solution for 5(11+n)=2(n+5) equation:


Simplifying
5(11 + n) = 2(n + 5)
(11 * 5 + n * 5) = 2(n + 5)
(55 + 5n) = 2(n + 5)

Reorder the terms:
55 + 5n = 2(5 + n)
55 + 5n = (5 * 2 + n * 2)
55 + 5n = (10 + 2n)

Solving
55 + 5n = 10 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
55 + 5n + -2n = 10 + 2n + -2n

Combine like terms: 5n + -2n = 3n
55 + 3n = 10 + 2n + -2n

Combine like terms: 2n + -2n = 0
55 + 3n = 10 + 0
55 + 3n = 10

Add '-55' to each side of the equation.
55 + -55 + 3n = 10 + -55

Combine like terms: 55 + -55 = 0
0 + 3n = 10 + -55
3n = 10 + -55

Combine like terms: 10 + -55 = -45
3n = -45

Divide each side by '3'.
n = -15

Simplifying
n = -15

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