5(2n-5)-3=2(3n-4)-8

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Solution for 5(2n-5)-3=2(3n-4)-8 equation:


Simplifying
5(2n + -5) + -3 = 2(3n + -4) + -8

Reorder the terms:
5(-5 + 2n) + -3 = 2(3n + -4) + -8
(-5 * 5 + 2n * 5) + -3 = 2(3n + -4) + -8
(-25 + 10n) + -3 = 2(3n + -4) + -8

Reorder the terms:
-25 + -3 + 10n = 2(3n + -4) + -8

Combine like terms: -25 + -3 = -28
-28 + 10n = 2(3n + -4) + -8

Reorder the terms:
-28 + 10n = 2(-4 + 3n) + -8
-28 + 10n = (-4 * 2 + 3n * 2) + -8
-28 + 10n = (-8 + 6n) + -8

Reorder the terms:
-28 + 10n = -8 + -8 + 6n

Combine like terms: -8 + -8 = -16
-28 + 10n = -16 + 6n

Solving
-28 + 10n = -16 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-28 + 10n + -6n = -16 + 6n + -6n

Combine like terms: 10n + -6n = 4n
-28 + 4n = -16 + 6n + -6n

Combine like terms: 6n + -6n = 0
-28 + 4n = -16 + 0
-28 + 4n = -16

Add '28' to each side of the equation.
-28 + 28 + 4n = -16 + 28

Combine like terms: -28 + 28 = 0
0 + 4n = -16 + 28
4n = -16 + 28

Combine like terms: -16 + 28 = 12
4n = 12

Divide each side by '4'.
n = 3

Simplifying
n = 3

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