3n+3=5n-7

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


Simplifying
3n + 3 = 5n + -7

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

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

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

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

Combine like terms: 5n + -5n = 0
3 + -2n = -7 + 0
3 + -2n = -7

Add '-3' to each side of the equation.
3 + -3 + -2n = -7 + -3

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

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

Divide each side by '-2'.
n = 5

Simplifying
n = 5

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