What is the answer to 3|2x+7|+1=4 ?

The answer to 3|2x+7|+1=4 is x=-4\lor x=-3

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3|2x+7|+1=4

3 ∣ 2 x + 7 ∣ + 1 = 4

x = - 4 or x = - 3

Solution steps

3 ∣ 2 x + 7 ∣ + 1 = 4

Move

1

to the right side

3 ∣ 2 x + 7 ∣ = 3

Divide both sides by

3

∣ 2 x + 7 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 7 = - 1 or 2 x + 7 = 1

2 x + 7 = - 1 or 2 x + 7 = 1

x = - 4 or x = - 3

∣ - 7 z ∣ = 0

- 7 - 6 ∣ 3 + 9 x ∣ = - 43

4 ∣ x - 2 ∣ = 8

∣ x - 0.4 ∣ = 3.8

∣ x + 5 ∣ + 9 = 7