2n+9=7n-18

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Solution for 2n+9=7n-18 equation:


Simplifying
2n + 9 = 7n + -18

Reorder the terms:
9 + 2n = 7n + -18

Reorder the terms:
9 + 2n = -18 + 7n

Solving
9 + 2n = -18 + 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.
9 + 2n + -7n = -18 + 7n + -7n

Combine like terms: 2n + -7n = -5n
9 + -5n = -18 + 7n + -7n

Combine like terms: 7n + -7n = 0
9 + -5n = -18 + 0
9 + -5n = -18

Add '-9' to each side of the equation.
9 + -9 + -5n = -18 + -9

Combine like terms: 9 + -9 = 0
0 + -5n = -18 + -9
-5n = -18 + -9

Combine like terms: -18 + -9 = -27
-5n = -27

Divide each side by '-5'.
n = 5.4

Simplifying
n = 5.4

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