3x-6(x-4)=-17

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Solution for 3x-6(x-4)=-17 equation:


Simplifying
3x + -6(x + -4) = -17

Reorder the terms:
3x + -6(-4 + x) = -17
3x + (-4 * -6 + x * -6) = -17
3x + (24 + -6x) = -17

Reorder the terms:
24 + 3x + -6x = -17

Combine like terms: 3x + -6x = -3x
24 + -3x = -17

Solving
24 + -3x = -17

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + -3x = -17 + -24

Combine like terms: 24 + -24 = 0
0 + -3x = -17 + -24
-3x = -17 + -24

Combine like terms: -17 + -24 = -41
-3x = -41

Divide each side by '-3'.
x = 13.66666667

Simplifying
x = 13.66666667

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