3(X-2)-2(3n-5)=10

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Solution for 3(X-2)-2(3n-5)=10 equation: 


Simplifying
3(X + -2) + -2(3n + -5) = 10

Reorder the terms:
3(-2 + X) + -2(3n + -5) = 10
(-2 * 3 + X * 3) + -2(3n + -5) = 10
(-6 + 3X) + -2(3n + -5) = 10

Reorder the terms:
-6 + 3X + -2(-5 + 3n) = 10
-6 + 3X + (-5 * -2 + 3n * -2) = 10
-6 + 3X + (10 + -6n) = 10

Reorder the terms:
-6 + 10 + 3X + -6n = 10

Combine like terms: -6 + 10 = 4
4 + 3X + -6n = 10

Solving
4 + 3X + -6n = 10

Solving for variable 'X'.

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

Add '-4' to each side of the equation.
4 + 3X + -4 + -6n = 10 + -4

Reorder the terms:
4 + -4 + 3X + -6n = 10 + -4

Combine like terms: 4 + -4 = 0
0 + 3X + -6n = 10 + -4
3X + -6n = 10 + -4

Combine like terms: 10 + -4 = 6
3X + -6n = 6

Add '6n' to each side of the equation.
3X + -6n + 6n = 6 + 6n

Combine like terms: -6n + 6n = 0
3X + 0 = 6 + 6n
3X = 6 + 6n

Divide each side by '3'.
X = 2 + 2n

Simplifying
X = 2 + 2n

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