What is the answer to |8x+10|=22 ?

The answer to |8x+10|=22 is x=-4\lor x= 3/2

Solve for x: |8x+10|=22

The solution is x=-4\lor x= 3/2

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∣ 8 x + 10 ∣ = 22

x = - 4 or x = \frac{3}{2}

Decimal

x = - 4, x = 1.5

Solution steps

∣ 8 x + 10 ∣ = 22

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 x + 10 = - 22 or 8 x + 10 = 22

8 x + 10 = - 22 or 8 x + 10 = 22

x = - 4 or x = \frac{3}{2}

2 ∣ x + 1 ∣ - 6 = 4

- ∣ x - 6 ∣ + 4 = \frac{x}{2} + 3

∣ x - 3 ∣ + 4 = 2

5 ∣ 2 x - 5 ∣ - 7 = 3

∣ x - 1 ∣ = ∣ x + 1 ∣