3(2n-1)-4(n-2)=25

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Solution for 3(2n-1)-4(n-2)=25 equation: 


Simplifying
3(2n + -1) + -4(n + -2) = 25

Reorder the terms:
3(-1 + 2n) + -4(n + -2) = 25
(-1 * 3 + 2n * 3) + -4(n + -2) = 25
(-3 + 6n) + -4(n + -2) = 25

Reorder the terms:
-3 + 6n + -4(-2 + n) = 25
-3 + 6n + (-2 * -4 + n * -4) = 25
-3 + 6n + (8 + -4n) = 25

Reorder the terms:
-3 + 8 + 6n + -4n = 25

Combine like terms: -3 + 8 = 5
5 + 6n + -4n = 25

Combine like terms: 6n + -4n = 2n
5 + 2n = 25

Solving
5 + 2n = 25

Solving for variable 'n'.

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

Add '-5' to each side of the equation.
5 + -5 + 2n = 25 + -5

Combine like terms: 5 + -5 = 0
0 + 2n = 25 + -5
2n = 25 + -5

Combine like terms: 25 + -5 = 20
2n = 20

Divide each side by '2'.
n = 10

Simplifying
n = 10

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