5n-10=7n+3

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


Simplifying
5n + -10 = 7n + 3

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

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

Solving
-10 + 5n = 3 + 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.
-10 + 5n + -7n = 3 + 7n + -7n

Combine like terms: 5n + -7n = -2n
-10 + -2n = 3 + 7n + -7n

Combine like terms: 7n + -7n = 0
-10 + -2n = 3 + 0
-10 + -2n = 3

Add '10' to each side of the equation.
-10 + 10 + -2n = 3 + 10

Combine like terms: -10 + 10 = 0
0 + -2n = 3 + 10
-2n = 3 + 10

Combine like terms: 3 + 10 = 13
-2n = 13

Divide each side by '-2'.
n = -6.5

Simplifying
n = -6.5

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