5X-3[X-2]=-9+4X+11

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Solution for 5X-3[X-2]=-9+4X+11 equation:


Simplifying
5X + -3[X + -2] = -9 + 4X + 11

Reorder the terms:
5X + -3[-2 + X] = -9 + 4X + 11
5X + [-2 * -3 + X * -3] = -9 + 4X + 11
5X + [6 + -3X] = -9 + 4X + 11

Reorder the terms:
6 + 5X + -3X = -9 + 4X + 11

Combine like terms: 5X + -3X = 2X
6 + 2X = -9 + 4X + 11

Reorder the terms:
6 + 2X = -9 + 11 + 4X

Combine like terms: -9 + 11 = 2
6 + 2X = 2 + 4X

Solving
6 + 2X = 2 + 4X

Solving for variable 'X'.

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

Add '-4X' to each side of the equation.
6 + 2X + -4X = 2 + 4X + -4X

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

Combine like terms: 4X + -4X = 0
6 + -2X = 2 + 0
6 + -2X = 2

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

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

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

Divide each side by '-2'.
X = 2

Simplifying
X = 2

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