2n-3=5n-18

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Solution for 2n-3=5n-18 equation:


Simplifying
2n + -3 = 5n + -18

Reorder the terms:
-3 + 2n = 5n + -18

Reorder the terms:
-3 + 2n = -18 + 5n

Solving
-3 + 2n = -18 + 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 + 2n + -5n = -18 + 5n + -5n

Combine like terms: 2n + -5n = -3n
-3 + -3n = -18 + 5n + -5n

Combine like terms: 5n + -5n = 0
-3 + -3n = -18 + 0
-3 + -3n = -18

Add '3' to each side of the equation.
-3 + 3 + -3n = -18 + 3

Combine like terms: -3 + 3 = 0
0 + -3n = -18 + 3
-3n = -18 + 3

Combine like terms: -18 + 3 = -15
-3n = -15

Divide each side by '-3'.
n = 5

Simplifying
n = 5

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