4(2n-3)=(5n+1)+2

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Solution for 4(2n-3)=(5n+1)+2 equation:


Simplifying
4(2n + -3) = (5n + 1) + 2

Reorder the terms:
4(-3 + 2n) = (5n + 1) + 2
(-3 * 4 + 2n * 4) = (5n + 1) + 2
(-12 + 8n) = (5n + 1) + 2

Reorder the terms:
-12 + 8n = (1 + 5n) + 2

Remove parenthesis around (1 + 5n)
-12 + 8n = 1 + 5n + 2

Reorder the terms:
-12 + 8n = 1 + 2 + 5n

Combine like terms: 1 + 2 = 3
-12 + 8n = 3 + 5n

Solving
-12 + 8n = 3 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
-12 + 8n + -5n = 3 + 5n + -5n

Combine like terms: 8n + -5n = 3n
-12 + 3n = 3 + 5n + -5n

Combine like terms: 5n + -5n = 0
-12 + 3n = 3 + 0
-12 + 3n = 3

Add '12' to each side of the equation.
-12 + 12 + 3n = 3 + 12

Combine like terms: -12 + 12 = 0
0 + 3n = 3 + 12
3n = 3 + 12

Combine like terms: 3 + 12 = 15
3n = 15

Divide each side by '3'.
n = 5

Simplifying
n = 5

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