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

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


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

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

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

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

Remove brackets around [-5 + 1X]
-5 + 1X = -4 + -3[3(2X + -4) + -3X]

Reorder the terms:
-5 + 1X = -4 + -3[3(-4 + 2X) + -3X]
-5 + 1X = -4 + -3[(-4 * 3 + 2X * 3) + -3X]
-5 + 1X = -4 + -3[(-12 + 6X) + -3X]

Combine like terms: 6X + -3X = 3X
-5 + 1X = -4 + -3[-12 + 3X]
-5 + 1X = -4 + [-12 * -3 + 3X * -3]
-5 + 1X = -4 + [36 + -9X]

Combine like terms: -4 + 36 = 32
-5 + 1X = 32 + -9X

Solving
-5 + 1X = 32 + -9X

Solving for variable 'X'.

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

Add '9X' to each side of the equation.
-5 + 1X + 9X = 32 + -9X + 9X

Combine like terms: 1X + 9X = 10X
-5 + 10X = 32 + -9X + 9X

Combine like terms: -9X + 9X = 0
-5 + 10X = 32 + 0
-5 + 10X = 32

Add '5' to each side of the equation.
-5 + 5 + 10X = 32 + 5

Combine like terms: -5 + 5 = 0
0 + 10X = 32 + 5
10X = 32 + 5

Combine like terms: 32 + 5 = 37
10X = 37

Divide each side by '10'.
X = 3.7

Simplifying
X = 3.7

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