5(3n+5)=6(5n+2)+5

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Solution for 5(3n+5)=6(5n+2)+5 equation: 


Simplifying
5(3n + 5) = 6(5n + 2) + 5

Reorder the terms:
5(5 + 3n) = 6(5n + 2) + 5
(5 * 5 + 3n * 5) = 6(5n + 2) + 5
(25 + 15n) = 6(5n + 2) + 5

Reorder the terms:
25 + 15n = 6(2 + 5n) + 5
25 + 15n = (2 * 6 + 5n * 6) + 5
25 + 15n = (12 + 30n) + 5

Reorder the terms:
25 + 15n = 12 + 5 + 30n

Combine like terms: 12 + 5 = 17
25 + 15n = 17 + 30n

Solving
25 + 15n = 17 + 30n

Solving for variable 'n'.

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

Add '-30n' to each side of the equation.
25 + 15n + -30n = 17 + 30n + -30n

Combine like terms: 15n + -30n = -15n
25 + -15n = 17 + 30n + -30n

Combine like terms: 30n + -30n = 0
25 + -15n = 17 + 0
25 + -15n = 17

Add '-25' to each side of the equation.
25 + -25 + -15n = 17 + -25

Combine like terms: 25 + -25 = 0
0 + -15n = 17 + -25
-15n = 17 + -25

Combine like terms: 17 + -25 = -8
-15n = -8

Divide each side by '-15'.
n = 0.5333333333

Simplifying
n = 0.5333333333

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