3(2n-5)=10-4n

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Solution for 3(2n-5)=10-4n equation:


Simplifying
3(2n + -5) = 10 + -4n

Reorder the terms:
3(-5 + 2n) = 10 + -4n
(-5 * 3 + 2n * 3) = 10 + -4n
(-15 + 6n) = 10 + -4n

Solving
-15 + 6n = 10 + -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.
-15 + 6n + 4n = 10 + -4n + 4n

Combine like terms: 6n + 4n = 10n
-15 + 10n = 10 + -4n + 4n

Combine like terms: -4n + 4n = 0
-15 + 10n = 10 + 0
-15 + 10n = 10

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

Combine like terms: -15 + 15 = 0
0 + 10n = 10 + 15
10n = 10 + 15

Combine like terms: 10 + 15 = 25
10n = 25

Divide each side by '10'.
n = 2.5

Simplifying
n = 2.5

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