What is the answer to |3x+5|=10 ?

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

Solve for x: |3x+5|=10

The solution is x=-5\lor x= 5/3

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∣ 3 x + 5 ∣ = 10

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

Decimal Notation

x = - 5, x = 1.66666 \dots

Solution steps

∣ 3 x + 5 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 5 = - 10 or 3 x + 5 = 10

3 x + 5 = - 10 or 3 x + 5 = 10

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

∣ z + 3 ∣ + 1 = 6

∣ 6 - 10 x ∣ = 14

∣ x + 6 ∣ = x + 6

- ∣ 2 m - 3 ∣ = 14

8 ∣ 4 - x ∣ = 32