What is the answer to |4x+3|=37 ?

The answer to |4x+3|=37 is x=-10\lor x= 17/2

Solve for x: |4x+3|=37

The solution is x=-10\lor x= 17/2

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∣ 4 x + 3 ∣ = 37

x = - 10 or x = \frac{17}{2}

Decimal Notation

x = - 10, x = 8.5

Solution steps

∣ 4 x + 3 ∣ = 37

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 3 = - 37 or 4 x + 3 = 37

4 x + 3 = - 37 or 4 x + 3 = 37

x = - 10 or x = \frac{17}{2}

∣ 4 x - 1 ∣ = - 9

∣ 4 x - 1 ∣ = - 3

6 = - 6 ∣ c - 2 ∣

∣ 15 x + 8 ∣ + 13 = 5

- 1 + ∣ x + 4 ∣ = - 1