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

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


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

Reorder the terms:
7(-1 + 2n) = (2n + 3) + 5
(-1 * 7 + 2n * 7) = (2n + 3) + 5
(-7 + 14n) = (2n + 3) + 5

Reorder the terms:
-7 + 14n = (3 + 2n) + 5

Remove parenthesis around (3 + 2n)
-7 + 14n = 3 + 2n + 5

Reorder the terms:
-7 + 14n = 3 + 5 + 2n

Combine like terms: 3 + 5 = 8
-7 + 14n = 8 + 2n

Solving
-7 + 14n = 8 + 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.
-7 + 14n + -2n = 8 + 2n + -2n

Combine like terms: 14n + -2n = 12n
-7 + 12n = 8 + 2n + -2n

Combine like terms: 2n + -2n = 0
-7 + 12n = 8 + 0
-7 + 12n = 8

Add '7' to each side of the equation.
-7 + 7 + 12n = 8 + 7

Combine like terms: -7 + 7 = 0
0 + 12n = 8 + 7
12n = 8 + 7

Combine like terms: 8 + 7 = 15
12n = 15

Divide each side by '12'.
n = 1.25

Simplifying
n = 1.25

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