What is the answer to |3+10x|=23 ?

The answer to |3+10x|=23 is x=-13/5 \lor x=2

Solve for x: |3+10x|=23

The solution is x=-13/5 \lor x=2

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∣ 3 + 10 x ∣ = 23

x = - \frac{13}{5} or x = 2

Solution steps

∣ 3 + 10 x ∣ = 23

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 + 10 x = - 23 or 3 + 10 x = 23

3 + 10 x = - 23 or 3 + 10 x = 23

x = - \frac{13}{5} or x = 2

∣ x + 2 ∣ + 2 = 5 x

x^{2} - 9 = - 2 x + 6

- ∣ 2 x + 1 ∣ + 1 = 1

∣ x - 7 ∣ = 12

- ∣ 4 - 8 x ∣ = 12