x-[5+3x-(5x-6)]-5=0

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Solution for x-[5+3x-(5x-6)]-5=0 equation: 


Simplifying
x + -1[5 + 3x + -1(5x + -6)] + -5 = 0

Reorder the terms:
x + -1[5 + 3x + -1(-6 + 5x)] + -5 = 0
x + -1[5 + 3x + (-6 * -1 + 5x * -1)] + -5 = 0
x + -1[5 + 3x + (6 + -5x)] + -5 = 0

Reorder the terms:
x + -1[5 + 6 + 3x + -5x] + -5 = 0

Combine like terms: 5 + 6 = 11
x + -1[11 + 3x + -5x] + -5 = 0

Combine like terms: 3x + -5x = -2x
x + -1[11 + -2x] + -5 = 0
x + [11 * -1 + -2x * -1] + -5 = 0
x + [-11 + 2x] + -5 = 0

Reorder the terms:
-11 + -5 + x + 2x = 0

Combine like terms: -11 + -5 = -16
-16 + x + 2x = 0

Combine like terms: x + 2x = 3x
-16 + 3x = 0

Solving
-16 + 3x = 0

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 3x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 3x = 0 + 16
3x = 0 + 16

Combine like terms: 0 + 16 = 16
3x = 16

Divide each side by '3'.
x = 5.333333333

Simplifying
x = 5.333333333

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