3n+4=9n+8-2n

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Solution for 3n+4=9n+8-2n equation:


Simplifying
3n + 4 = 9n + 8 + -2n

Reorder the terms:
4 + 3n = 9n + 8 + -2n

Reorder the terms:
4 + 3n = 8 + 9n + -2n

Combine like terms: 9n + -2n = 7n
4 + 3n = 8 + 7n

Solving
4 + 3n = 8 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
4 + 3n + -7n = 8 + 7n + -7n

Combine like terms: 3n + -7n = -4n
4 + -4n = 8 + 7n + -7n

Combine like terms: 7n + -7n = 0
4 + -4n = 8 + 0
4 + -4n = 8

Add '-4' to each side of the equation.
4 + -4 + -4n = 8 + -4

Combine like terms: 4 + -4 = 0
0 + -4n = 8 + -4
-4n = 8 + -4

Combine like terms: 8 + -4 = 4
-4n = 4

Divide each side by '-4'.
n = -1

Simplifying
n = -1

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