5(3n-1)=(7n+2)+3

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Solution for 5(3n-1)=(7n+2)+3 equation:


Simplifying
5(3n + -1) = (7n + 2) + 3

Reorder the terms:
5(-1 + 3n) = (7n + 2) + 3
(-1 * 5 + 3n * 5) = (7n + 2) + 3
(-5 + 15n) = (7n + 2) + 3

Reorder the terms:
-5 + 15n = (2 + 7n) + 3

Remove parenthesis around (2 + 7n)
-5 + 15n = 2 + 7n + 3

Reorder the terms:
-5 + 15n = 2 + 3 + 7n

Combine like terms: 2 + 3 = 5
-5 + 15n = 5 + 7n

Solving
-5 + 15n = 5 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
-5 + 15n + -7n = 5 + 7n + -7n

Combine like terms: 15n + -7n = 8n
-5 + 8n = 5 + 7n + -7n

Combine like terms: 7n + -7n = 0
-5 + 8n = 5 + 0
-5 + 8n = 5

Add '5' to each side of the equation.
-5 + 5 + 8n = 5 + 5

Combine like terms: -5 + 5 = 0
0 + 8n = 5 + 5
8n = 5 + 5

Combine like terms: 5 + 5 = 10
8n = 10

Divide each side by '8'.
n = 1.25

Simplifying
n = 1.25

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