2n+7(n-3)+4n=12n+3

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Solution for 2n+7(n-3)+4n=12n+3 equation:


Simplifying
2n + 7(n + -3) + 4n = 12n + 3

Reorder the terms:
2n + 7(-3 + n) + 4n = 12n + 3
2n + (-3 * 7 + n * 7) + 4n = 12n + 3
2n + (-21 + 7n) + 4n = 12n + 3

Reorder the terms:
-21 + 2n + 7n + 4n = 12n + 3

Combine like terms: 2n + 7n = 9n
-21 + 9n + 4n = 12n + 3

Combine like terms: 9n + 4n = 13n
-21 + 13n = 12n + 3

Reorder the terms:
-21 + 13n = 3 + 12n

Solving
-21 + 13n = 3 + 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
-21 + 13n + -12n = 3 + 12n + -12n

Combine like terms: 13n + -12n = 1n
-21 + 1n = 3 + 12n + -12n

Combine like terms: 12n + -12n = 0
-21 + 1n = 3 + 0
-21 + 1n = 3

Add '21' to each side of the equation.
-21 + 21 + 1n = 3 + 21

Combine like terms: -21 + 21 = 0
0 + 1n = 3 + 21
1n = 3 + 21

Combine like terms: 3 + 21 = 24
1n = 24

Divide each side by '1'.
n = 24

Simplifying
n = 24

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