2n-5=3(n-2)

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Solution for 2n-5=3(n-2) equation:


Simplifying
2n + -5 = 3(n + -2)

Reorder the terms:
-5 + 2n = 3(n + -2)

Reorder the terms:
-5 + 2n = 3(-2 + n)
-5 + 2n = (-2 * 3 + n * 3)
-5 + 2n = (-6 + 3n)

Solving
-5 + 2n = -6 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-5 + 2n + -3n = -6 + 3n + -3n

Combine like terms: 2n + -3n = -1n
-5 + -1n = -6 + 3n + -3n

Combine like terms: 3n + -3n = 0
-5 + -1n = -6 + 0
-5 + -1n = -6

Add '5' to each side of the equation.
-5 + 5 + -1n = -6 + 5

Combine like terms: -5 + 5 = 0
0 + -1n = -6 + 5
-1n = -6 + 5

Combine like terms: -6 + 5 = -1
-1n = -1

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

Simplifying
n = 1

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