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

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


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

Reorder the terms:
5(-4 + 3n) = (2n + 8) + 3
(-4 * 5 + 3n * 5) = (2n + 8) + 3
(-20 + 15n) = (2n + 8) + 3

Reorder the terms:
-20 + 15n = (8 + 2n) + 3

Remove parenthesis around (8 + 2n)
-20 + 15n = 8 + 2n + 3

Reorder the terms:
-20 + 15n = 8 + 3 + 2n

Combine like terms: 8 + 3 = 11
-20 + 15n = 11 + 2n

Solving
-20 + 15n = 11 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-20 + 15n + -2n = 11 + 2n + -2n

Combine like terms: 15n + -2n = 13n
-20 + 13n = 11 + 2n + -2n

Combine like terms: 2n + -2n = 0
-20 + 13n = 11 + 0
-20 + 13n = 11

Add '20' to each side of the equation.
-20 + 20 + 13n = 11 + 20

Combine like terms: -20 + 20 = 0
0 + 13n = 11 + 20
13n = 11 + 20

Combine like terms: 11 + 20 = 31
13n = 31

Divide each side by '13'.
n = 2.384615385

Simplifying
n = 2.384615385

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