What is the answer to |9x+20|=38 ?

The answer to |9x+20|=38 is x=-58/9 \lor x=2

Solve for x: |9x+20|=38

The solution is x=-58/9 \lor x=2

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∣ 9 x + 20 ∣ = 38

x = - \frac{58}{9} or x = 2

Decimal

x = - 6.44444 \dots, x = 2

Solution steps

∣ 9 x + 20 ∣ = 38

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

9 x + 20 = - 38 or 9 x + 20 = 38

9 x + 20 = - 38 or 9 x + 20 = 38

x = - \frac{58}{9} or x = 2

\frac{1}{3} ∣ 3 x - 6 ∣ - 2 = 5

\frac{2}{3} ∣ 4 (3 x + 1) - 1 ∣ - 5 = 3

\frac{4}{3} ∣ 3 x - 6 ∣ = 16

∣ x + 12 ∣ = 3

∣ q + 1 ∣ = 4