7n+5=8n+10

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Solution for 7n+5=8n+10 equation:


Simplifying
7n + 5 = 8n + 10

Reorder the terms:
5 + 7n = 8n + 10

Reorder the terms:
5 + 7n = 10 + 8n

Solving
5 + 7n = 10 + 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.
5 + 7n + -8n = 10 + 8n + -8n

Combine like terms: 7n + -8n = -1n
5 + -1n = 10 + 8n + -8n

Combine like terms: 8n + -8n = 0
5 + -1n = 10 + 0
5 + -1n = 10

Add '-5' to each side of the equation.
5 + -5 + -1n = 10 + -5

Combine like terms: 5 + -5 = 0
0 + -1n = 10 + -5
-1n = 10 + -5

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

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

Simplifying
n = -5

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