10x+4n=2n-14

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Solution for 10x+4n=2n-14 equation:


Simplifying
10x + 4n = 2n + -14

Reorder the terms:
4n + 10x = 2n + -14

Reorder the terms:
4n + 10x = -14 + 2n

Solving
4n + 10x = -14 + 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.
4n + -2n + 10x = -14 + 2n + -2n

Combine like terms: 4n + -2n = 2n
2n + 10x = -14 + 2n + -2n

Combine like terms: 2n + -2n = 0
2n + 10x = -14 + 0
2n + 10x = -14

Add '-10x' to each side of the equation.
2n + 10x + -10x = -14 + -10x

Combine like terms: 10x + -10x = 0
2n + 0 = -14 + -10x
2n = -14 + -10x

Divide each side by '2'.
n = -7 + -5x

Simplifying
n = -7 + -5x

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