-[9x-(17x+6)]=6+(7x+9)

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Solution for -[9x-(17x+6)]=6+(7x+9) equation:


Simplifying
-1[9x + -1(17x + 6)] = 6 + (7x + 9)

Reorder the terms:
-1[9x + -1(6 + 17x)] = 6 + (7x + 9)
-1[9x + (6 * -1 + 17x * -1)] = 6 + (7x + 9)
-1[9x + (-6 + -17x)] = 6 + (7x + 9)

Reorder the terms:
-1[-6 + 9x + -17x] = 6 + (7x + 9)

Combine like terms: 9x + -17x = -8x
-1[-6 + -8x] = 6 + (7x + 9)
[-6 * -1 + -8x * -1] = 6 + (7x + 9)
[6 + 8x] = 6 + (7x + 9)

Reorder the terms:
6 + 8x = 6 + (9 + 7x)

Remove parenthesis around (9 + 7x)
6 + 8x = 6 + 9 + 7x

Combine like terms: 6 + 9 = 15
6 + 8x = 15 + 7x

Solving
6 + 8x = 15 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
6 + 8x + -7x = 15 + 7x + -7x

Combine like terms: 8x + -7x = 1x
6 + 1x = 15 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + 1x = 15 + 0
6 + 1x = 15

Add '-6' to each side of the equation.
6 + -6 + 1x = 15 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 15 + -6
1x = 15 + -6

Combine like terms: 15 + -6 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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