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

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Solution for 7(n+2)=5(n+10) equation:


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

Reorder the terms:
7(2 + n) = 5(n + 10)
(2 * 7 + n * 7) = 5(n + 10)
(14 + 7n) = 5(n + 10)

Reorder the terms:
14 + 7n = 5(10 + n)
14 + 7n = (10 * 5 + n * 5)
14 + 7n = (50 + 5n)

Solving
14 + 7n = 50 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
14 + 7n + -5n = 50 + 5n + -5n

Combine like terms: 7n + -5n = 2n
14 + 2n = 50 + 5n + -5n

Combine like terms: 5n + -5n = 0
14 + 2n = 50 + 0
14 + 2n = 50

Add '-14' to each side of the equation.
14 + -14 + 2n = 50 + -14

Combine like terms: 14 + -14 = 0
0 + 2n = 50 + -14
2n = 50 + -14

Combine like terms: 50 + -14 = 36
2n = 36

Divide each side by '2'.
n = 18

Simplifying
n = 18

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