2(3X+1)-5X=4(X-6)+17

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Solution for 2(3X+1)-5X=4(X-6)+17 equation: 


Simplifying
2(3X + 1) + -5X = 4(X + -6) + 17

Reorder the terms:
2(1 + 3X) + -5X = 4(X + -6) + 17
(1 * 2 + 3X * 2) + -5X = 4(X + -6) + 17
(2 + 6X) + -5X = 4(X + -6) + 17

Combine like terms: 6X + -5X = 1X
2 + 1X = 4(X + -6) + 17

Reorder the terms:
2 + 1X = 4(-6 + X) + 17
2 + 1X = (-6 * 4 + X * 4) + 17
2 + 1X = (-24 + 4X) + 17

Reorder the terms:
2 + 1X = -24 + 17 + 4X

Combine like terms: -24 + 17 = -7
2 + 1X = -7 + 4X

Solving
2 + 1X = -7 + 4X

Solving for variable 'X'.

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

Add '-4X' to each side of the equation.
2 + 1X + -4X = -7 + 4X + -4X

Combine like terms: 1X + -4X = -3X
2 + -3X = -7 + 4X + -4X

Combine like terms: 4X + -4X = 0
2 + -3X = -7 + 0
2 + -3X = -7

Add '-2' to each side of the equation.
2 + -2 + -3X = -7 + -2

Combine like terms: 2 + -2 = 0
0 + -3X = -7 + -2
-3X = -7 + -2

Combine like terms: -7 + -2 = -9
-3X = -9

Divide each side by '-3'.
X = 3

Simplifying
X = 3

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