17X-(3+8-9X-7X)-43+6X+4-2-6X=20-17+6-32X

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Solution for 17X-(3+8-9X-7X)-43+6X+4-2-6X=20-17+6-32X equation:


Simplifying
17X + -1(3 + 8 + -9X + -7X) + -43 + 6X + 4 + -2 + -6X = 20 + -17 + 6 + -32X

Combine like terms: 3 + 8 = 11
17X + -1(11 + -9X + -7X) + -43 + 6X + 4 + -2 + -6X = 20 + -17 + 6 + -32X

Combine like terms: -9X + -7X = -16X
17X + -1(11 + -16X) + -43 + 6X + 4 + -2 + -6X = 20 + -17 + 6 + -32X
17X + (11 * -1 + -16X * -1) + -43 + 6X + 4 + -2 + -6X = 20 + -17 + 6 + -32X
17X + (-11 + 16X) + -43 + 6X + 4 + -2 + -6X = 20 + -17 + 6 + -32X

Reorder the terms:
-11 + -43 + 4 + -2 + 17X + 16X + 6X + -6X = 20 + -17 + 6 + -32X

Combine like terms: -11 + -43 = -54
-54 + 4 + -2 + 17X + 16X + 6X + -6X = 20 + -17 + 6 + -32X

Combine like terms: -54 + 4 = -50
-50 + -2 + 17X + 16X + 6X + -6X = 20 + -17 + 6 + -32X

Combine like terms: -50 + -2 = -52
-52 + 17X + 16X + 6X + -6X = 20 + -17 + 6 + -32X

Combine like terms: 17X + 16X = 33X
-52 + 33X + 6X + -6X = 20 + -17 + 6 + -32X

Combine like terms: 33X + 6X = 39X
-52 + 39X + -6X = 20 + -17 + 6 + -32X

Combine like terms: 39X + -6X = 33X
-52 + 33X = 20 + -17 + 6 + -32X

Combine like terms: 20 + -17 = 3
-52 + 33X = 3 + 6 + -32X

Combine like terms: 3 + 6 = 9
-52 + 33X = 9 + -32X

Solving
-52 + 33X = 9 + -32X

Solving for variable 'X'.

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

Add '32X' to each side of the equation.
-52 + 33X + 32X = 9 + -32X + 32X

Combine like terms: 33X + 32X = 65X
-52 + 65X = 9 + -32X + 32X

Combine like terms: -32X + 32X = 0
-52 + 65X = 9 + 0
-52 + 65X = 9

Add '52' to each side of the equation.
-52 + 52 + 65X = 9 + 52

Combine like terms: -52 + 52 = 0
0 + 65X = 9 + 52
65X = 9 + 52

Combine like terms: 9 + 52 = 61
65X = 61

Divide each side by '65'.
X = 0.9384615385

Simplifying
X = 0.9384615385

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