17x-[4x-(-6x+8)-1]+8=2x-[12-(-12x+36)-1]

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Solution for 17x-[4x-(-6x+8)-1]+8=2x-[12-(-12x+36)-1] equation:


Simplifying
17x + -1[4x + -1(-6x + 8) + -1] + 8 = 2x + -1[12 + -1(-12x + 36) + -1]

Reorder the terms:
17x + -1[4x + -1(8 + -6x) + -1] + 8 = 2x + -1[12 + -1(-12x + 36) + -1]
17x + -1[4x + (8 * -1 + -6x * -1) + -1] + 8 = 2x + -1[12 + -1(-12x + 36) + -1]
17x + -1[4x + (-8 + 6x) + -1] + 8 = 2x + -1[12 + -1(-12x + 36) + -1]

Reorder the terms:
17x + -1[-8 + -1 + 4x + 6x] + 8 = 2x + -1[12 + -1(-12x + 36) + -1]

Combine like terms: -8 + -1 = -9
17x + -1[-9 + 4x + 6x] + 8 = 2x + -1[12 + -1(-12x + 36) + -1]

Combine like terms: 4x + 6x = 10x
17x + -1[-9 + 10x] + 8 = 2x + -1[12 + -1(-12x + 36) + -1]
17x + [-9 * -1 + 10x * -1] + 8 = 2x + -1[12 + -1(-12x + 36) + -1]
17x + [9 + -10x] + 8 = 2x + -1[12 + -1(-12x + 36) + -1]

Reorder the terms:
9 + 8 + 17x + -10x = 2x + -1[12 + -1(-12x + 36) + -1]

Combine like terms: 9 + 8 = 17
17 + 17x + -10x = 2x + -1[12 + -1(-12x + 36) + -1]

Combine like terms: 17x + -10x = 7x
17 + 7x = 2x + -1[12 + -1(-12x + 36) + -1]

Reorder the terms:
17 + 7x = 2x + -1[12 + -1(36 + -12x) + -1]
17 + 7x = 2x + -1[12 + (36 * -1 + -12x * -1) + -1]
17 + 7x = 2x + -1[12 + (-36 + 12x) + -1]

Reorder the terms:
17 + 7x = 2x + -1[12 + -36 + -1 + 12x]

Combine like terms: 12 + -36 = -24
17 + 7x = 2x + -1[-24 + -1 + 12x]

Combine like terms: -24 + -1 = -25
17 + 7x = 2x + -1[-25 + 12x]
17 + 7x = 2x + [-25 * -1 + 12x * -1]
17 + 7x = 2x + [25 + -12x]

Reorder the terms:
17 + 7x = 25 + 2x + -12x

Combine like terms: 2x + -12x = -10x
17 + 7x = 25 + -10x

Solving
17 + 7x = 25 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
17 + 7x + 10x = 25 + -10x + 10x

Combine like terms: 7x + 10x = 17x
17 + 17x = 25 + -10x + 10x

Combine like terms: -10x + 10x = 0
17 + 17x = 25 + 0
17 + 17x = 25

Add '-17' to each side of the equation.
17 + -17 + 17x = 25 + -17

Combine like terms: 17 + -17 = 0
0 + 17x = 25 + -17
17x = 25 + -17

Combine like terms: 25 + -17 = 8
17x = 8

Divide each side by '17'.
x = 0.4705882353

Simplifying
x = 0.4705882353

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