=3[5-2(4x-9)]-17

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Solution for =3[5-2(4x-9)]-17 equation: 


Simplifying
0 = 3[5 + -2(4x + -9)] + -17

Reorder the terms:
0 = 3[5 + -2(-9 + 4x)] + -17
0 = 3[5 + (-9 * -2 + 4x * -2)] + -17
0 = 3[5 + (18 + -8x)] + -17

Combine like terms: 5 + 18 = 23
0 = 3[23 + -8x] + -17
0 = [23 * 3 + -8x * 3] + -17
0 = [69 + -24x] + -17

Reorder the terms:
0 = 69 + -17 + -24x

Combine like terms: 69 + -17 = 52
0 = 52 + -24x

Solving
0 = 52 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
0 + 24x = 52 + -24x + 24x
Remove the zero:
24x = 52 + -24x + 24x

Combine like terms: -24x + 24x = 0
24x = 52 + 0
24x = 52

Divide each side by '24'.
x = 2.166666667

Simplifying
x = 2.166666667

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