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

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


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

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

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

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

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

Reorder the terms:
-1 + -6X = 5[X + -1(-1 + 2X)]
-1 + -6X = 5[X + (-1 * -1 + 2X * -1)]
-1 + -6X = 5[X + (1 + -2X)]

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

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

Solving
-1 + -6X = 5 + -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.
-1 + -6X + 5X = 5 + -5X + 5X

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

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

Add '1' to each side of the equation.
-1 + 1 + -1X = 5 + 1

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

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

Divide each side by '-1'.
X = -6

Simplifying
X = -6

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