3(n+2)+2=5n+3(n+1)

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Solution for 3(n+2)+2=5n+3(n+1) equation:


Simplifying
3(n + 2) + 2 = 5n + 3(n + 1)

Reorder the terms:
3(2 + n) + 2 = 5n + 3(n + 1)
(2 * 3 + n * 3) + 2 = 5n + 3(n + 1)
(6 + 3n) + 2 = 5n + 3(n + 1)

Reorder the terms:
6 + 2 + 3n = 5n + 3(n + 1)

Combine like terms: 6 + 2 = 8
8 + 3n = 5n + 3(n + 1)

Reorder the terms:
8 + 3n = 5n + 3(1 + n)
8 + 3n = 5n + (1 * 3 + n * 3)
8 + 3n = 5n + (3 + 3n)

Reorder the terms:
8 + 3n = 3 + 5n + 3n

Combine like terms: 5n + 3n = 8n
8 + 3n = 3 + 8n

Solving
8 + 3n = 3 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
8 + 3n + -8n = 3 + 8n + -8n

Combine like terms: 3n + -8n = -5n
8 + -5n = 3 + 8n + -8n

Combine like terms: 8n + -8n = 0
8 + -5n = 3 + 0
8 + -5n = 3

Add '-8' to each side of the equation.
8 + -8 + -5n = 3 + -8

Combine like terms: 8 + -8 = 0
0 + -5n = 3 + -8
-5n = 3 + -8

Combine like terms: 3 + -8 = -5
-5n = -5

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

Simplifying
n = 1

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