What is the answer to 3|x-7|+6=9 ?

The answer to 3|x-7|+6=9 is x=6\lor x=8

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3|x-7|+6=9

3 ∣ x - 7 ∣ + 6 = 9

x = 6 or x = 8

Solution steps

3 ∣ x - 7 ∣ + 6 = 9

Move

6

to the right side

3 ∣ x - 7 ∣ = 3

Divide both sides by

3

∣ x - 7 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 7 = - 1 or x - 7 = 1

x - 7 = - 1 or x - 7 = 1

x = 6 or x = 8

- 4 (x - 2)^{2} - 3 = 0

(7^{2})^{6}

(4 s^{4})^{\frac{1}{2}}

8 x + 10

2 x + 9 = x + 4