4(n-5)-5=6n+7x-4n

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Solution for 4(n-5)-5=6n+7x-4n equation:


Simplifying
4(n + -5) + -5 = 6n + 7x + -4n

Reorder the terms:
4(-5 + n) + -5 = 6n + 7x + -4n
(-5 * 4 + n * 4) + -5 = 6n + 7x + -4n
(-20 + 4n) + -5 = 6n + 7x + -4n

Reorder the terms:
-20 + -5 + 4n = 6n + 7x + -4n

Combine like terms: -20 + -5 = -25
-25 + 4n = 6n + 7x + -4n

Reorder the terms:
-25 + 4n = 6n + -4n + 7x

Combine like terms: 6n + -4n = 2n
-25 + 4n = 2n + 7x

Solving
-25 + 4n = 2n + 7x

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.
-25 + 4n + -2n = 2n + -2n + 7x

Combine like terms: 4n + -2n = 2n
-25 + 2n = 2n + -2n + 7x

Combine like terms: 2n + -2n = 0
-25 + 2n = 0 + 7x
-25 + 2n = 7x

Add '25' to each side of the equation.
-25 + 25 + 2n = 25 + 7x

Combine like terms: -25 + 25 = 0
0 + 2n = 25 + 7x
2n = 25 + 7x

Divide each side by '2'.
n = 12.5 + 3.5x

Simplifying
n = 12.5 + 3.5x

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