3x+2(4-9x)-3(x-3)+x=-17

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Solution for 3x+2(4-9x)-3(x-3)+x=-17 equation: 


Simplifying
3x + 2(4 + -9x) + -3(x + -3) + x = -17
3x + (4 * 2 + -9x * 2) + -3(x + -3) + x = -17
3x + (8 + -18x) + -3(x + -3) + x = -17

Reorder the terms:
3x + 8 + -18x + -3(-3 + x) + x = -17
3x + 8 + -18x + (-3 * -3 + x * -3) + x = -17
3x + 8 + -18x + (9 + -3x) + x = -17

Reorder the terms:
8 + 9 + 3x + -18x + -3x + x = -17

Combine like terms: 8 + 9 = 17
17 + 3x + -18x + -3x + x = -17

Combine like terms: 3x + -18x = -15x
17 + -15x + -3x + x = -17

Combine like terms: -15x + -3x = -18x
17 + -18x + x = -17

Combine like terms: -18x + x = -17x
17 + -17x = -17

Solving
17 + -17x = -17

Solving for variable 'x'.

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

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

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

Combine like terms: -17 + -17 = -34
-17x = -34

Divide each side by '-17'.
x = 2

Simplifying
x = 2

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