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

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


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

Reorder the terms:
5(3 + 2n) = 8(3n + 8) + 4
(3 * 5 + 2n * 5) = 8(3n + 8) + 4
(15 + 10n) = 8(3n + 8) + 4

Reorder the terms:
15 + 10n = 8(8 + 3n) + 4
15 + 10n = (8 * 8 + 3n * 8) + 4
15 + 10n = (64 + 24n) + 4

Reorder the terms:
15 + 10n = 64 + 4 + 24n

Combine like terms: 64 + 4 = 68
15 + 10n = 68 + 24n

Solving
15 + 10n = 68 + 24n

Solving for variable 'n'.

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

Add '-24n' to each side of the equation.
15 + 10n + -24n = 68 + 24n + -24n

Combine like terms: 10n + -24n = -14n
15 + -14n = 68 + 24n + -24n

Combine like terms: 24n + -24n = 0
15 + -14n = 68 + 0
15 + -14n = 68

Add '-15' to each side of the equation.
15 + -15 + -14n = 68 + -15

Combine like terms: 15 + -15 = 0
0 + -14n = 68 + -15
-14n = 68 + -15

Combine like terms: 68 + -15 = 53
-14n = 53

Divide each side by '-14'.
n = -3.785714286

Simplifying
n = -3.785714286

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