What is the answer to |10x-9|=21 ?

The answer to |10x-9|=21 is x=-6/5 \lor x=3

Solve for x: |10x-9|=21

The solution is x=-6/5 \lor x=3

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∣ 10 x - 9 ∣ = 21

x = - \frac{6}{5} or x = 3

Solution steps

∣ 10 x - 9 ∣ = 21

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

10 x - 9 = - 21 or 10 x - 9 = 21

10 x - 9 = - 21 or 10 x - 9 = 21

x = - \frac{6}{5} or x = 3

4 ∣ 7 w + 14 ∣ = 28

∣ x + 3 ∣ + 12 = 5

∣ x + 6 ∣ = 2 x + 6

∣ 11 - 2 x ∣ = 5

8 + 2 ∣ 5 x - 10 ∣ = 15