10-5n=2n+7

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


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

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

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

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

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

Divide each side by '-7'.
n = 0.4285714286

Simplifying
n = 0.4285714286

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