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

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


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

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

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

Combine like terms: -15 + 5 = -10
-10 + 6n = 5(3n + 4) + -4n

Reorder the terms:
-10 + 6n = 5(4 + 3n) + -4n
-10 + 6n = (4 * 5 + 3n * 5) + -4n
-10 + 6n = (20 + 15n) + -4n

Combine like terms: 15n + -4n = 11n
-10 + 6n = 20 + 11n

Solving
-10 + 6n = 20 + 11n

Solving for variable 'n'.

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

Add '-11n' to each side of the equation.
-10 + 6n + -11n = 20 + 11n + -11n

Combine like terms: 6n + -11n = -5n
-10 + -5n = 20 + 11n + -11n

Combine like terms: 11n + -11n = 0
-10 + -5n = 20 + 0
-10 + -5n = 20

Add '10' to each side of the equation.
-10 + 10 + -5n = 20 + 10

Combine like terms: -10 + 10 = 0
0 + -5n = 20 + 10
-5n = 20 + 10

Combine like terms: 20 + 10 = 30
-5n = 30

Divide each side by '-5'.
n = -6

Simplifying
n = -6

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