-[X-(3X+3)]=5-(-5X+1)

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Solution for -[X-(3X+3)]=5-(-5X+1) equation:


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

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

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

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

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

Combine like terms: 5 + -1 = 4
3 + 2X = 4 + 5X

Solving
3 + 2X = 4 + 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.
3 + 2X + -5X = 4 + 5X + -5X

Combine like terms: 2X + -5X = -3X
3 + -3X = 4 + 5X + -5X

Combine like terms: 5X + -5X = 0
3 + -3X = 4 + 0
3 + -3X = 4

Add '-3' to each side of the equation.
3 + -3 + -3X = 4 + -3

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

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

Divide each side by '-3'.
X = -0.3333333333

Simplifying
X = -0.3333333333

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