What is the answer to |5x-2|=9 ?

The answer to |5x-2|=9 is x=-7/5 \lor x= 11/5

Solve for x: |5x-2|=9

The solution is x=-7/5 \lor x= 11/5

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∣ 5 x - 2 ∣ = 9

x = - \frac{7}{5} or x = \frac{11}{5}

Decimal Notation

x = - 1.4, x = 2.2

Solution steps

∣ 5 x - 2 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x - 2 = - 9 or 5 x - 2 = 9

5 x - 2 = - 9 or 5 x - 2 = 9

x = - \frac{7}{5} or x = \frac{11}{5}

∣ - 5 n ∣ = 45

∣ x + 8 ∣ = 7

∣ x + 8 ∣ = c

∣ - x ∣ = - 10

4 y + 10 = - ∣ 2 y + 4 ∣