5(n+2)=6n+3

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


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

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

Reorder the terms:
10 + 5n = 3 + 6n

Solving
10 + 5n = 3 + 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.
10 + 5n + -6n = 3 + 6n + -6n

Combine like terms: 5n + -6n = -1n
10 + -1n = 3 + 6n + -6n

Combine like terms: 6n + -6n = 0
10 + -1n = 3 + 0
10 + -1n = 3

Add '-10' to each side of the equation.
10 + -10 + -1n = 3 + -10

Combine like terms: 10 + -10 = 0
0 + -1n = 3 + -10
-1n = 3 + -10

Combine like terms: 3 + -10 = -7
-1n = -7

Divide each side by '-1'.
n = 7

Simplifying
n = 7

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