-3(2X-5)-(3+5(X-1)-3X)=25-(5X+2-3(X+2))

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Solution for -3(2X-5)-(3+5(X-1)-3X)=25-(5X+2-3(X+2)) equation: 


Simplifying
-3(2X + -5) + -1(3 + 5(X + -1) + -3X) = 25 + -1(5X + 2 + -3(X + 2))

Reorder the terms:
-3(-5 + 2X) + -1(3 + 5(X + -1) + -3X) = 25 + -1(5X + 2 + -3(X + 2))
(-5 * -3 + 2X * -3) + -1(3 + 5(X + -1) + -3X) = 25 + -1(5X + 2 + -3(X + 2))
(15 + -6X) + -1(3 + 5(X + -1) + -3X) = 25 + -1(5X + 2 + -3(X + 2))

Reorder the terms:
15 + -6X + -1(3 + 5(-1 + X) + -3X) = 25 + -1(5X + 2 + -3(X + 2))
15 + -6X + -1(3 + (-1 * 5 + X * 5) + -3X) = 25 + -1(5X + 2 + -3(X + 2))
15 + -6X + -1(3 + (-5 + 5X) + -3X) = 25 + -1(5X + 2 + -3(X + 2))

Combine like terms: 3 + -5 = -2
15 + -6X + -1(-2 + 5X + -3X) = 25 + -1(5X + 2 + -3(X + 2))

Combine like terms: 5X + -3X = 2X
15 + -6X + -1(-2 + 2X) = 25 + -1(5X + 2 + -3(X + 2))
15 + -6X + (-2 * -1 + 2X * -1) = 25 + -1(5X + 2 + -3(X + 2))
15 + -6X + (2 + -2X) = 25 + -1(5X + 2 + -3(X + 2))

Reorder the terms:
15 + 2 + -6X + -2X = 25 + -1(5X + 2 + -3(X + 2))

Combine like terms: 15 + 2 = 17
17 + -6X + -2X = 25 + -1(5X + 2 + -3(X + 2))

Combine like terms: -6X + -2X = -8X
17 + -8X = 25 + -1(5X + 2 + -3(X + 2))

Reorder the terms:
17 + -8X = 25 + -1(5X + 2 + -3(2 + X))
17 + -8X = 25 + -1(5X + 2 + (2 * -3 + X * -3))
17 + -8X = 25 + -1(5X + 2 + (-6 + -3X))

Reorder the terms:
17 + -8X = 25 + -1(2 + -6 + 5X + -3X)

Combine like terms: 2 + -6 = -4
17 + -8X = 25 + -1(-4 + 5X + -3X)

Combine like terms: 5X + -3X = 2X
17 + -8X = 25 + -1(-4 + 2X)
17 + -8X = 25 + (-4 * -1 + 2X * -1)
17 + -8X = 25 + (4 + -2X)

Combine like terms: 25 + 4 = 29
17 + -8X = 29 + -2X

Solving
17 + -8X = 29 + -2X

Solving for variable 'X'.

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

Add '2X' to each side of the equation.
17 + -8X + 2X = 29 + -2X + 2X

Combine like terms: -8X + 2X = -6X
17 + -6X = 29 + -2X + 2X

Combine like terms: -2X + 2X = 0
17 + -6X = 29 + 0
17 + -6X = 29

Add '-17' to each side of the equation.
17 + -17 + -6X = 29 + -17

Combine like terms: 17 + -17 = 0
0 + -6X = 29 + -17
-6X = 29 + -17

Combine like terms: 29 + -17 = 12
-6X = 12

Divide each side by '-6'.
X = -2

Simplifying
X = -2

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