8(n+1)=6n+22

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Solution for 8(n+1)=6n+22 equation:


Simplifying
8(n + 1) = 6n + 22

Reorder the terms:
8(1 + n) = 6n + 22
(1 * 8 + n * 8) = 6n + 22
(8 + 8n) = 6n + 22

Reorder the terms:
8 + 8n = 22 + 6n

Solving
8 + 8n = 22 + 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.
8 + 8n + -6n = 22 + 6n + -6n

Combine like terms: 8n + -6n = 2n
8 + 2n = 22 + 6n + -6n

Combine like terms: 6n + -6n = 0
8 + 2n = 22 + 0
8 + 2n = 22

Add '-8' to each side of the equation.
8 + -8 + 2n = 22 + -8

Combine like terms: 8 + -8 = 0
0 + 2n = 22 + -8
2n = 22 + -8

Combine like terms: 22 + -8 = 14
2n = 14

Divide each side by '2'.
n = 7

Simplifying
n = 7

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