What is the answer to |3m-9|-4=2 ?

The answer to |3m-9|-4=2 is m=1\lor m=5

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|3m-9|-4=2

∣ 3 m - 9 ∣ - 4 = 2

m = 1 or m = 5

Solution steps

∣ 3 m - 9 ∣ - 4 = 2

Move

4

to the right side

∣ 3 m - 9 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 m - 9 = - 6 or 3 m - 9 = 6

3 m - 9 = - 6 or 3 m - 9 = 6

m = 1 or m = 5

- 5 \frac{x}{6} = - 5

∣ 9 + 4 x ∣ = 15

∣ 2 x - 7 ∣ = 3 x - 10

a ∣ x + 3 ∣ + (5 - a) ∣ x - 3 ∣ - 6 = 0

- 2 ∣ x - 9 ∣ + 33 = - 7 x - 3 + 33