4(5-n)=2(n+1)

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


Simplifying
4(5 + -1n) = 2(n + 1)
(5 * 4 + -1n * 4) = 2(n + 1)
(20 + -4n) = 2(n + 1)

Reorder the terms:
20 + -4n = 2(1 + n)
20 + -4n = (1 * 2 + n * 2)
20 + -4n = (2 + 2n)

Solving
20 + -4n = 2 + 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.
20 + -4n + -2n = 2 + 2n + -2n

Combine like terms: -4n + -2n = -6n
20 + -6n = 2 + 2n + -2n

Combine like terms: 2n + -2n = 0
20 + -6n = 2 + 0
20 + -6n = 2

Add '-20' to each side of the equation.
20 + -20 + -6n = 2 + -20

Combine like terms: 20 + -20 = 0
0 + -6n = 2 + -20
-6n = 2 + -20

Combine like terms: 2 + -20 = -18
-6n = -18

Divide each side by '-6'.
n = 3

Simplifying
n = 3

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