3(n-5)-(2-4n)=6n

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Solution for 3(n-5)-(2-4n)=6n equation:


Simplifying
3(n + -5) + -1(2 + -4n) = 6n

Reorder the terms:
3(-5 + n) + -1(2 + -4n) = 6n
(-5 * 3 + n * 3) + -1(2 + -4n) = 6n
(-15 + 3n) + -1(2 + -4n) = 6n
-15 + 3n + (2 * -1 + -4n * -1) = 6n
-15 + 3n + (-2 + 4n) = 6n

Reorder the terms:
-15 + -2 + 3n + 4n = 6n

Combine like terms: -15 + -2 = -17
-17 + 3n + 4n = 6n

Combine like terms: 3n + 4n = 7n
-17 + 7n = 6n

Solving
-17 + 7n = 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-17 + 7n + -6n = 6n + -6n

Combine like terms: 7n + -6n = 1n
-17 + 1n = 6n + -6n

Combine like terms: 6n + -6n = 0
-17 + 1n = 0

Add '17' to each side of the equation.
-17 + 17 + 1n = 0 + 17

Combine like terms: -17 + 17 = 0
0 + 1n = 0 + 17
1n = 0 + 17

Combine like terms: 0 + 17 = 17
1n = 17

Divide each side by '1'.
n = 17

Simplifying
n = 17

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