10n+3=7n+5

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Solution for 10n+3=7n+5 equation:


Simplifying
10n + 3 = 7n + 5

Reorder the terms:
3 + 10n = 7n + 5

Reorder the terms:
3 + 10n = 5 + 7n

Solving
3 + 10n = 5 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
3 + 10n + -7n = 5 + 7n + -7n

Combine like terms: 10n + -7n = 3n
3 + 3n = 5 + 7n + -7n

Combine like terms: 7n + -7n = 0
3 + 3n = 5 + 0
3 + 3n = 5

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

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

Combine like terms: 5 + -3 = 2
3n = 2

Divide each side by '3'.
n = 0.6666666667

Simplifying
n = 0.6666666667

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