2n-3(4n+5)=4(5x+3)

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Solution for 2n-3(4n+5)=4(5x+3) equation:


Simplifying
2n + -3(4n + 5) = 4(5x + 3)

Reorder the terms:
2n + -3(5 + 4n) = 4(5x + 3)
2n + (5 * -3 + 4n * -3) = 4(5x + 3)
2n + (-15 + -12n) = 4(5x + 3)

Reorder the terms:
-15 + 2n + -12n = 4(5x + 3)

Combine like terms: 2n + -12n = -10n
-15 + -10n = 4(5x + 3)

Reorder the terms:
-15 + -10n = 4(3 + 5x)
-15 + -10n = (3 * 4 + 5x * 4)
-15 + -10n = (12 + 20x)

Solving
-15 + -10n = 12 + 20x

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '15' to each side of the equation.
-15 + 15 + -10n = 12 + 15 + 20x

Combine like terms: -15 + 15 = 0
0 + -10n = 12 + 15 + 20x
-10n = 12 + 15 + 20x

Combine like terms: 12 + 15 = 27
-10n = 27 + 20x

Divide each side by '-10'.
n = -2.7 + -2x

Simplifying
n = -2.7 + -2x

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