What is the answer to |5x+7|=38 ?

The answer to |5x+7|=38 is x=-9\lor x= 31/5

Solve for x: |5x+7|=38

The solution is x=-9\lor x= 31/5

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∣ 5 x + 7 ∣ = 38

x = - 9 or x = \frac{31}{5}

Decimal Notation

x = - 9, x = 6.2

Solution steps

∣ 5 x + 7 ∣ = 38

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x + 7 = - 38 or 5 x + 7 = 38

5 x + 7 = - 38 or 5 x + 7 = 38

x = - 9 or x = \frac{31}{5}

3 - \frac{1}{4} x = 4

5 = ∣ x ∣

∣ X + 10 ∣ + 2 = 5

∣ z + 1 ∣ = 1

∣ x + (- 3) ∣ = 25