5(2n-4)=6(5n-3)

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Solution for 5(2n-4)=6(5n-3) equation:


Simplifying
5(2n + -4) = 6(5n + -3)

Reorder the terms:
5(-4 + 2n) = 6(5n + -3)
(-4 * 5 + 2n * 5) = 6(5n + -3)
(-20 + 10n) = 6(5n + -3)

Reorder the terms:
-20 + 10n = 6(-3 + 5n)
-20 + 10n = (-3 * 6 + 5n * 6)
-20 + 10n = (-18 + 30n)

Solving
-20 + 10n = -18 + 30n

Solving for variable 'n'.

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

Add '-30n' to each side of the equation.
-20 + 10n + -30n = -18 + 30n + -30n

Combine like terms: 10n + -30n = -20n
-20 + -20n = -18 + 30n + -30n

Combine like terms: 30n + -30n = 0
-20 + -20n = -18 + 0
-20 + -20n = -18

Add '20' to each side of the equation.
-20 + 20 + -20n = -18 + 20

Combine like terms: -20 + 20 = 0
0 + -20n = -18 + 20
-20n = -18 + 20

Combine like terms: -18 + 20 = 2
-20n = 2

Divide each side by '-20'.
n = -0.1

Simplifying
n = -0.1

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