9[6-9(x-1)]+5[(3x+2)-3]=17x-332

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Solution for 9[6-9(x-1)]+5[(3x+2)-3]=17x-332 equation: 


Simplifying
9[6 + -9(x + -1)] + 5[(3x + 2) + -3] = 17x + -332

Reorder the terms:
9[6 + -9(-1 + x)] + 5[(3x + 2) + -3] = 17x + -332
9[6 + (-1 * -9 + x * -9)] + 5[(3x + 2) + -3] = 17x + -332
9[6 + (9 + -9x)] + 5[(3x + 2) + -3] = 17x + -332

Combine like terms: 6 + 9 = 15
9[15 + -9x] + 5[(3x + 2) + -3] = 17x + -332
[15 * 9 + -9x * 9] + 5[(3x + 2) + -3] = 17x + -332
[135 + -81x] + 5[(3x + 2) + -3] = 17x + -332

Reorder the terms:
135 + -81x + 5[(2 + 3x) + -3] = 17x + -332

Remove parenthesis around (2 + 3x)
135 + -81x + 5[2 + 3x + -3] = 17x + -332

Reorder the terms:
135 + -81x + 5[2 + -3 + 3x] = 17x + -332

Combine like terms: 2 + -3 = -1
135 + -81x + 5[-1 + 3x] = 17x + -332
135 + -81x + [-1 * 5 + 3x * 5] = 17x + -332
135 + -81x + [-5 + 15x] = 17x + -332

Reorder the terms:
135 + -5 + -81x + 15x = 17x + -332

Combine like terms: 135 + -5 = 130
130 + -81x + 15x = 17x + -332

Combine like terms: -81x + 15x = -66x
130 + -66x = 17x + -332

Reorder the terms:
130 + -66x = -332 + 17x

Solving
130 + -66x = -332 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
130 + -66x + -17x = -332 + 17x + -17x

Combine like terms: -66x + -17x = -83x
130 + -83x = -332 + 17x + -17x

Combine like terms: 17x + -17x = 0
130 + -83x = -332 + 0
130 + -83x = -332

Add '-130' to each side of the equation.
130 + -130 + -83x = -332 + -130

Combine like terms: 130 + -130 = 0
0 + -83x = -332 + -130
-83x = -332 + -130

Combine like terms: -332 + -130 = -462
-83x = -462

Divide each side by '-83'.
x = 5.56626506

Simplifying
x = 5.56626506

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