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|17-(3x-9)|==11 equation

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Numerical solution:

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The solution

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|17 + -3*x + 9| = 0
∣(9−3x)+17∣=0\left|{\left(9 - 3 x\right) + 17}\right| = 0
Simplify
Detail solution
For every modulo expressions in the equation
allow cases, when this expressions ">=0" or "<0",
solve the resulting equation.

1.
3x−26≥03 x - 26 \geq 0
or
263≤x∧x<∞\frac{26}{3} \leq x \wedge x < \infty
we get the equation
3x−26=03 x - 26 = 0
after simplifying we get
3x−26=03 x - 26 = 0
the solution in this interval:
x1=263x_{1} = \frac{26}{3}

2.
3x−26<03 x - 26 < 0
or
−∞<x∧x<263-\infty < x \wedge x < \frac{26}{3}
we get the equation
26−3x=026 - 3 x = 0
after simplifying we get
26−3x=026 - 3 x = 0
the solution in this interval:
x2=263x_{2} = \frac{26}{3}
but x2 not in the inequality interval


The final answer:
x1=263x_{1} = \frac{26}{3}
The graph
0.02.55.07.510.012.515.017.520.022.525.027.5050
Plot the graph f1(x)
Plot the graph f2(x)
Rapid solution [src] 
x1 = 26/3
x1=263x_{1} = \frac{26}{3} 
x1 = 26/3
Sum and product of roots [src] 
sum
26/3
263\frac{26}{3} 
=
26/3
263\frac{26}{3} 
product
26/3
263\frac{26}{3} 
=
26/3
263\frac{26}{3} 
26/3
Numerical answer [src] 
x1 = 8.66666666666667
x1 = 8.66666666666667
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