What is the answer to |5x+2|=8 ?

The answer to |5x+2|=8 is x=-2\lor x= 6/5

Solve for x: |5x+2|=8

The solution is x=-2\lor x= 6/5

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∣ 5 x + 2 ∣ = 8

x = - 2 or x = \frac{6}{5}

Decimal Notation

x = - 2, x = 1.2

Solution steps

∣ 5 x + 2 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x + 2 = - 8 or 5 x + 2 = 8

5 x + 2 = - 8 or 5 x + 2 = 8

x = - 2 or x = \frac{6}{5}

\frac{16}{- 4}

20 + 28 x

2 x^{2} - 11 x - 40 = 0

3 (x^{2} - 1) - 10 = 5

∣ 4 x + 3 ∣ - 4 \leq 11