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

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


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

Reorder the terms:
5(-3 + 2n) = 4(-3n + 2)
(-3 * 5 + 2n * 5) = 4(-3n + 2)
(-15 + 10n) = 4(-3n + 2)

Reorder the terms:
-15 + 10n = 4(2 + -3n)
-15 + 10n = (2 * 4 + -3n * 4)
-15 + 10n = (8 + -12n)

Solving
-15 + 10n = 8 + -12n

Solving for variable 'n'.

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

Add '12n' to each side of the equation.
-15 + 10n + 12n = 8 + -12n + 12n

Combine like terms: 10n + 12n = 22n
-15 + 22n = 8 + -12n + 12n

Combine like terms: -12n + 12n = 0
-15 + 22n = 8 + 0
-15 + 22n = 8

Add '15' to each side of the equation.
-15 + 15 + 22n = 8 + 15

Combine like terms: -15 + 15 = 0
0 + 22n = 8 + 15
22n = 8 + 15

Combine like terms: 8 + 15 = 23
22n = 23

Divide each side by '22'.
n = 1.045454545

Simplifying
n = 1.045454545

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