8x+[20-(3x-11)]=-6+4(2-6x)

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Solution for 8x+[20-(3x-11)]=-6+4(2-6x) equation:


Simplifying
8x + [20 + -1(3x + -11)] = -6 + 4(2 + -6x)

Reorder the terms:
8x + [20 + -1(-11 + 3x)] = -6 + 4(2 + -6x)
8x + [20 + (-11 * -1 + 3x * -1)] = -6 + 4(2 + -6x)
8x + [20 + (11 + -3x)] = -6 + 4(2 + -6x)

Combine like terms: 20 + 11 = 31
8x + [31 + -3x] = -6 + 4(2 + -6x)

Remove brackets around [31 + -3x]
8x + 31 + -3x = -6 + 4(2 + -6x)

Reorder the terms:
31 + 8x + -3x = -6 + 4(2 + -6x)

Combine like terms: 8x + -3x = 5x
31 + 5x = -6 + 4(2 + -6x)
31 + 5x = -6 + (2 * 4 + -6x * 4)
31 + 5x = -6 + (8 + -24x)

Combine like terms: -6 + 8 = 2
31 + 5x = 2 + -24x

Solving
31 + 5x = 2 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
31 + 5x + 24x = 2 + -24x + 24x

Combine like terms: 5x + 24x = 29x
31 + 29x = 2 + -24x + 24x

Combine like terms: -24x + 24x = 0
31 + 29x = 2 + 0
31 + 29x = 2

Add '-31' to each side of the equation.
31 + -31 + 29x = 2 + -31

Combine like terms: 31 + -31 = 0
0 + 29x = 2 + -31
29x = 2 + -31

Combine like terms: 2 + -31 = -29
29x = -29

Divide each side by '29'.
x = -1

Simplifying
x = -1

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