(2n+4)(3)=(5)(n+6)+10

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Solution for (2n+4)(3)=(5)(n+6)+10 equation:


Simplifying
(2n + 4)(3) = (5)(n + 6) + 10

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

Reorder the terms for easier multiplication:
3(4 + 2n) = (5)(n + 6) + 10
(4 * 3 + 2n * 3) = (5)(n + 6) + 10
(12 + 6n) = (5)(n + 6) + 10

Reorder the terms:
12 + 6n = 5(6 + n) + 10
12 + 6n = (6 * 5 + n * 5) + 10
12 + 6n = (30 + 5n) + 10

Reorder the terms:
12 + 6n = 30 + 10 + 5n

Combine like terms: 30 + 10 = 40
12 + 6n = 40 + 5n

Solving
12 + 6n = 40 + 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.
12 + 6n + -5n = 40 + 5n + -5n

Combine like terms: 6n + -5n = 1n
12 + 1n = 40 + 5n + -5n

Combine like terms: 5n + -5n = 0
12 + 1n = 40 + 0
12 + 1n = 40

Add '-12' to each side of the equation.
12 + -12 + 1n = 40 + -12

Combine like terms: 12 + -12 = 0
0 + 1n = 40 + -12
1n = 40 + -12

Combine like terms: 40 + -12 = 28
1n = 28

Divide each side by '1'.
n = 28

Simplifying
n = 28

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