7n-10=2n+10

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


Simplifying
7n + -10 = 2n + 10

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

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

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

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

Combine like terms: 2n + -2n = 0
-10 + 5n = 10 + 0
-10 + 5n = 10

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

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

Combine like terms: 10 + 10 = 20
5n = 20

Divide each side by '5'.
n = 4

Simplifying
n = 4

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