3x+[-5x-(x+6)]=8x+(3x-4)

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Solution for 3x+[-5x-(x+6)]=8x+(3x-4) equation:


Simplifying
3x + [-5x + -1(x + 6)] = 8x + (3x + -4)

Reorder the terms:
3x + [-5x + -1(6 + x)] = 8x + (3x + -4)
3x + [-5x + (6 * -1 + x * -1)] = 8x + (3x + -4)
3x + [-5x + (-6 + -1x)] = 8x + (3x + -4)

Reorder the terms:
3x + [-6 + -5x + -1x] = 8x + (3x + -4)

Combine like terms: -5x + -1x = -6x
3x + [-6 + -6x] = 8x + (3x + -4)

Remove brackets around [-6 + -6x]
3x + -6 + -6x = 8x + (3x + -4)

Reorder the terms:
-6 + 3x + -6x = 8x + (3x + -4)

Combine like terms: 3x + -6x = -3x
-6 + -3x = 8x + (3x + -4)

Reorder the terms:
-6 + -3x = 8x + (-4 + 3x)

Remove parenthesis around (-4 + 3x)
-6 + -3x = 8x + -4 + 3x

Reorder the terms:
-6 + -3x = -4 + 8x + 3x

Combine like terms: 8x + 3x = 11x
-6 + -3x = -4 + 11x

Solving
-6 + -3x = -4 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-6 + -3x + -11x = -4 + 11x + -11x

Combine like terms: -3x + -11x = -14x
-6 + -14x = -4 + 11x + -11x

Combine like terms: 11x + -11x = 0
-6 + -14x = -4 + 0
-6 + -14x = -4

Add '6' to each side of the equation.
-6 + 6 + -14x = -4 + 6

Combine like terms: -6 + 6 = 0
0 + -14x = -4 + 6
-14x = -4 + 6

Combine like terms: -4 + 6 = 2
-14x = 2

Divide each side by '-14'.
x = -0.1428571429

Simplifying
x = -0.1428571429

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