What is the answer to 3-|2m+7|=2 ?

The answer to 3-|2m+7|=2 is m=-4\lor m=-3

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3-|2m+7|=2

3 - ∣ 2 m + 7 ∣ = 2

m = - 4 or m = - 3

Solution steps

3 - ∣ 2 m + 7 ∣ = 2

Move

3

to the right side

- ∣ 2 m + 7 ∣ = - 1

Divide both sides by

- 1

∣ 2 m + 7 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 m + 7 = - 1 or 2 m + 7 = 1

2 m + 7 = - 1 or 2 m + 7 = 1

m = - 4 or m = - 3

\frac{x}{3} - 5 = 1

∣ 30 - 4 x ∣ = 6 x

∣ y - 8 ∣ + 15 = 6

- 6 = ∣ f ∣ - 7

- 15 = ∣ r ∣ - 7