What is the answer to |5x+8|=12 ?

The answer to |5x+8|=12 is x=-4\lor x= 4/5

Solve for x: |5x+8|=12

The solution is x=-4\lor x= 4/5

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∣ 5 x + 8 ∣ = 12

x = - 4 or x = \frac{4}{5}

Decimal Notation

x = - 4, x = 0.8

Solution steps

∣ 5 x + 8 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x + 8 = - 12 or 5 x + 8 = 12

5 x + 8 = - 12 or 5 x + 8 = 12

x = - 4 or x = \frac{4}{5}

∣ 15 y + 9 ∣ + 9 = 7

5 ∣ 8 + 4 x ∣ + 9 = 59

- 2 ∣ 3 x - 1 ∣ = a

3 ∣ 2 x - 5 ∣ = 3

∣ 2 b ∣ = 0