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

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


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

Reorder the terms:
3(-2 + 5n) = 5(n + -2)
(-2 * 3 + 5n * 3) = 5(n + -2)
(-6 + 15n) = 5(n + -2)

Reorder the terms:
-6 + 15n = 5(-2 + n)
-6 + 15n = (-2 * 5 + n * 5)
-6 + 15n = (-10 + 5n)

Solving
-6 + 15n = -10 + 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.
-6 + 15n + -5n = -10 + 5n + -5n

Combine like terms: 15n + -5n = 10n
-6 + 10n = -10 + 5n + -5n

Combine like terms: 5n + -5n = 0
-6 + 10n = -10 + 0
-6 + 10n = -10

Add '6' to each side of the equation.
-6 + 6 + 10n = -10 + 6

Combine like terms: -6 + 6 = 0
0 + 10n = -10 + 6
10n = -10 + 6

Combine like terms: -10 + 6 = -4
10n = -4

Divide each side by '10'.
n = -0.4

Simplifying
n = -0.4

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