What is the answer to |7x+2|=16 ?

The answer to |7x+2|=16 is x=-18/7 \lor x=2

Solve for x: |7x+2|=16

The solution is x=-18/7 \lor x=2

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∣ 7 x + 2 ∣ = 16

x = - \frac{18}{7} or x = 2

Decimal Notation

x = - 2.57142 \dots, x = 2

Solution steps

∣ 7 x + 2 ∣ = 16

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 x + 2 = - 16 or 7 x + 2 = 16

7 x + 2 = - 16 or 7 x + 2 = 16

x = - \frac{18}{7} or x = 2

5 ∣ w ∣ = 5

∣ 6 - 2 x ∣ - 10 = - 2

8 ∣ x - 5 ∣ + 7 = 11

∣ x + 5 ∣ + 8 = 7

6 ∣ 5 x + 2 ∣ = 312