What is the answer to 3|x-5|+6=9 ?

The answer to 3|x-5|+6=9 is x=4\lor x=6

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3|x-5|+6=9

3 ∣ x - 5 ∣ + 6 = 9

x = 4 or x = 6

Solution steps

3 ∣ x - 5 ∣ + 6 = 9

Move

6

to the right side

3 ∣ x - 5 ∣ = 3

Divide both sides by

3

∣ x - 5 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 5 = - 1 or x - 5 = 1

x - 5 = - 1 or x - 5 = 1

x = 4 or x = 6

10 x^{2} - 3 x - 1 = 0

\frac{1}{2} x + 1 \leq \frac{2}{3} x + 2

- \frac{π}{3} + 2 π

4 p^{2} - 8 p - 5

5 = \frac{w}{2.2}