-[3X-(9X+2)]=2+(5X+4)

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Solution for -[3X-(9X+2)]=2+(5X+4) equation:


Simplifying
-1[3X + -1(9X + 2)] = 2 + (5X + 4)

Reorder the terms:
-1[3X + -1(2 + 9X)] = 2 + (5X + 4)
-1[3X + (2 * -1 + 9X * -1)] = 2 + (5X + 4)
-1[3X + (-2 + -9X)] = 2 + (5X + 4)

Reorder the terms:
-1[-2 + 3X + -9X] = 2 + (5X + 4)

Combine like terms: 3X + -9X = -6X
-1[-2 + -6X] = 2 + (5X + 4)
[-2 * -1 + -6X * -1] = 2 + (5X + 4)
[2 + 6X] = 2 + (5X + 4)

Reorder the terms:
2 + 6X = 2 + (4 + 5X)

Remove parenthesis around (4 + 5X)
2 + 6X = 2 + 4 + 5X

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

Solving
2 + 6X = 6 + 5X

Solving for variable 'X'.

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

Add '-5X' to each side of the equation.
2 + 6X + -5X = 6 + 5X + -5X

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

Combine like terms: 5X + -5X = 0
2 + 1X = 6 + 0
2 + 1X = 6

Add '-2' to each side of the equation.
2 + -2 + 1X = 6 + -2

Combine like terms: 2 + -2 = 0
0 + 1X = 6 + -2
1X = 6 + -2

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

Divide each side by '1'.
X = 4

Simplifying
X = 4

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