2X+2X-(4X-1-9X)=6X-1

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Solution for 2X+2X-(4X-1-9X)=6X-1 equation:


Simplifying
2X + 2X + -1(4X + -1 + -9X) = 6X + -1

Reorder the terms:
2X + 2X + -1(-1 + 4X + -9X) = 6X + -1

Combine like terms: 4X + -9X = -5X
2X + 2X + -1(-1 + -5X) = 6X + -1
2X + 2X + (-1 * -1 + -5X * -1) = 6X + -1
2X + 2X + (1 + 5X) = 6X + -1

Reorder the terms:
1 + 2X + 2X + 5X = 6X + -1

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

Combine like terms: 4X + 5X = 9X
1 + 9X = 6X + -1

Reorder the terms:
1 + 9X = -1 + 6X

Solving
1 + 9X = -1 + 6X

Solving for variable 'X'.

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

Add '-6X' to each side of the equation.
1 + 9X + -6X = -1 + 6X + -6X

Combine like terms: 9X + -6X = 3X
1 + 3X = -1 + 6X + -6X

Combine like terms: 6X + -6X = 0
1 + 3X = -1 + 0
1 + 3X = -1

Add '-1' to each side of the equation.
1 + -1 + 3X = -1 + -1

Combine like terms: 1 + -1 = 0
0 + 3X = -1 + -1
3X = -1 + -1

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

Divide each side by '3'.
X = -0.6666666667

Simplifying
X = -0.6666666667

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