What is the answer to |6-5x|=3 ?

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

Solve for x: |6-5x|=3

The solution is x= 3/5 \lor x= 9/5

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∣ 6 - 5 x ∣ = 3

x = \frac{3}{5} or x = \frac{9}{5}

Solution steps

∣ 6 - 5 x ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 - 5 x = - 3 or 6 - 5 x = 3

6 - 5 x = - 3 or 6 - 5 x = 3

x = \frac{3}{5} or x = \frac{9}{5}

5 ∣ 2 - 11 x ∣ = 15

∣ - 4 x - 7 ∣ + 15 = 24

6 ∣ z - 250 ∣ = 120

- 2 ∣ m - 2 ∣ = - 6

- 2 = ∣ 7 y + 7 ∣