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

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


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

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

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

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

Combine like terms: 2 + 1 = 3
3 + 2X + 5X = 6X + -1

Combine like terms: 2X + 5X = 7X
3 + 7X = 6X + -1

Reorder the terms:
3 + 7X = -1 + 6X

Solving
3 + 7X = -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.
3 + 7X + -6X = -1 + 6X + -6X

Combine like terms: 7X + -6X = 1X
3 + 1X = -1 + 6X + -6X

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

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

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

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

Divide each side by '1'.
X = -4

Simplifying
X = -4

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