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

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


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

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

Reorder the terms:
5 + 2n = 4(-5 + n) + -2
5 + 2n = (-5 * 4 + n * 4) + -2
5 + 2n = (-20 + 4n) + -2

Reorder the terms:
5 + 2n = -20 + -2 + 4n

Combine like terms: -20 + -2 = -22
5 + 2n = -22 + 4n

Solving
5 + 2n = -22 + 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.
5 + 2n + -4n = -22 + 4n + -4n

Combine like terms: 2n + -4n = -2n
5 + -2n = -22 + 4n + -4n

Combine like terms: 4n + -4n = 0
5 + -2n = -22 + 0
5 + -2n = -22

Add '-5' to each side of the equation.
5 + -5 + -2n = -22 + -5

Combine like terms: 5 + -5 = 0
0 + -2n = -22 + -5
-2n = -22 + -5

Combine like terms: -22 + -5 = -27
-2n = -27

Divide each side by '-2'.
n = 13.5

Simplifying
n = 13.5

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