3n+23=7n-2n+5

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Solution for 3n+23=7n-2n+5 equation:


Simplifying
3n + 23 = 7n + -2n + 5

Reorder the terms:
23 + 3n = 7n + -2n + 5

Reorder the terms:
23 + 3n = 5 + 7n + -2n

Combine like terms: 7n + -2n = 5n
23 + 3n = 5 + 5n

Solving
23 + 3n = 5 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
23 + 3n + -5n = 5 + 5n + -5n

Combine like terms: 3n + -5n = -2n
23 + -2n = 5 + 5n + -5n

Combine like terms: 5n + -5n = 0
23 + -2n = 5 + 0
23 + -2n = 5

Add '-23' to each side of the equation.
23 + -23 + -2n = 5 + -23

Combine like terms: 23 + -23 = 0
0 + -2n = 5 + -23
-2n = 5 + -23

Combine like terms: 5 + -23 = -18
-2n = -18

Divide each side by '-2'.
n = 9

Simplifying
n = 9

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