3(3X-1)-5(X-4)=1

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Solution for 3(3X-1)-5(X-4)=1 equation: 


Simplifying
3(3X + -1) + -5(X + -4) = 1

Reorder the terms:
3(-1 + 3X) + -5(X + -4) = 1
(-1 * 3 + 3X * 3) + -5(X + -4) = 1
(-3 + 9X) + -5(X + -4) = 1

Reorder the terms:
-3 + 9X + -5(-4 + X) = 1
-3 + 9X + (-4 * -5 + X * -5) = 1
-3 + 9X + (20 + -5X) = 1

Reorder the terms:
-3 + 20 + 9X + -5X = 1

Combine like terms: -3 + 20 = 17
17 + 9X + -5X = 1

Combine like terms: 9X + -5X = 4X
17 + 4X = 1

Solving
17 + 4X = 1

Solving for variable 'X'.

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

Add '-17' to each side of the equation.
17 + -17 + 4X = 1 + -17

Combine like terms: 17 + -17 = 0
0 + 4X = 1 + -17
4X = 1 + -17

Combine like terms: 1 + -17 = -16
4X = -16

Divide each side by '4'.
X = -4

Simplifying
X = -4

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