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

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


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

Reorder the terms:
2n + 4(1 + n) = 2(n + -5)
2n + (1 * 4 + n * 4) = 2(n + -5)
2n + (4 + 4n) = 2(n + -5)

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

Combine like terms: 2n + 4n = 6n
4 + 6n = 2(n + -5)

Reorder the terms:
4 + 6n = 2(-5 + n)
4 + 6n = (-5 * 2 + n * 2)
4 + 6n = (-10 + 2n)

Solving
4 + 6n = -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.
4 + 6n + -2n = -10 + 2n + -2n

Combine like terms: 6n + -2n = 4n
4 + 4n = -10 + 2n + -2n

Combine like terms: 2n + -2n = 0
4 + 4n = -10 + 0
4 + 4n = -10

Add '-4' to each side of the equation.
4 + -4 + 4n = -10 + -4

Combine like terms: 4 + -4 = 0
0 + 4n = -10 + -4
4n = -10 + -4

Combine like terms: -10 + -4 = -14
4n = -14

Divide each side by '4'.
n = -3.5

Simplifying
n = -3.5

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