5n-10=2n-7

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Solution for 5n-10=2n-7 equation:


Simplifying
5n + -10 = 2n + -7

Reorder the terms:
-10 + 5n = 2n + -7

Reorder the terms:
-10 + 5n = -7 + 2n

Solving
-10 + 5n = -7 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-10 + 5n + -2n = -7 + 2n + -2n

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

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

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

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

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

Divide each side by '3'.
n = 1

Simplifying
n = 1

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