5(n+5)=3(2n+10)

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


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

Reorder the terms:
5(5 + n) = 3(2n + 10)
(5 * 5 + n * 5) = 3(2n + 10)
(25 + 5n) = 3(2n + 10)

Reorder the terms:
25 + 5n = 3(10 + 2n)
25 + 5n = (10 * 3 + 2n * 3)
25 + 5n = (30 + 6n)

Solving
25 + 5n = 30 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
25 + 5n + -6n = 30 + 6n + -6n

Combine like terms: 5n + -6n = -1n
25 + -1n = 30 + 6n + -6n

Combine like terms: 6n + -6n = 0
25 + -1n = 30 + 0
25 + -1n = 30

Add '-25' to each side of the equation.
25 + -25 + -1n = 30 + -25

Combine like terms: 25 + -25 = 0
0 + -1n = 30 + -25
-1n = 30 + -25

Combine like terms: 30 + -25 = 5
-1n = 5

Divide each side by '-1'.
n = -5

Simplifying
n = -5

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