3x+[-5x-(x-3)]=8x+(-5x-9)

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Solution for 3x+[-5x-(x-3)]=8x+(-5x-9) equation:


Simplifying
3x + [-5x + -1(x + -3)] = 8x + (-5x + -9)

Reorder the terms:
3x + [-5x + -1(-3 + x)] = 8x + (-5x + -9)
3x + [-5x + (-3 * -1 + x * -1)] = 8x + (-5x + -9)
3x + [-5x + (3 + -1x)] = 8x + (-5x + -9)

Reorder the terms:
3x + [3 + -5x + -1x] = 8x + (-5x + -9)

Combine like terms: -5x + -1x = -6x
3x + [3 + -6x] = 8x + (-5x + -9)

Remove brackets around [3 + -6x]
3x + 3 + -6x = 8x + (-5x + -9)

Reorder the terms:
3 + 3x + -6x = 8x + (-5x + -9)

Combine like terms: 3x + -6x = -3x
3 + -3x = 8x + (-5x + -9)

Reorder the terms:
3 + -3x = 8x + (-9 + -5x)

Remove parenthesis around (-9 + -5x)
3 + -3x = 8x + -9 + -5x

Reorder the terms:
3 + -3x = -9 + 8x + -5x

Combine like terms: 8x + -5x = 3x
3 + -3x = -9 + 3x

Solving
3 + -3x = -9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
3 + -3x + -3x = -9 + 3x + -3x

Combine like terms: -3x + -3x = -6x
3 + -6x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
3 + -6x = -9 + 0
3 + -6x = -9

Add '-3' to each side of the equation.
3 + -3 + -6x = -9 + -3

Combine like terms: 3 + -3 = 0
0 + -6x = -9 + -3
-6x = -9 + -3

Combine like terms: -9 + -3 = -12
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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