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

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


Simplifying
17 = -3(-1x + -3) + x + -4

Reorder the terms:
17 = -3(-3 + -1x) + x + -4
17 = (-3 * -3 + -1x * -3) + x + -4
17 = (9 + 3x) + x + -4

Reorder the terms:
17 = 9 + -4 + 3x + x

Combine like terms: 9 + -4 = 5
17 = 5 + 3x + x

Combine like terms: 3x + x = 4x
17 = 5 + 4x

Solving
17 = 5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
17 + -4x = 5 + 4x + -4x

Combine like terms: 4x + -4x = 0
17 + -4x = 5 + 0
17 + -4x = 5

Add '-17' to each side of the equation.
17 + -17 + -4x = 5 + -17

Combine like terms: 17 + -17 = 0
0 + -4x = 5 + -17
-4x = 5 + -17

Combine like terms: 5 + -17 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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