What is the answer to |6-5x|=2 ?

The answer to |6-5x|=2 is x= 4/5 \lor x= 8/5

Solve for x: |6-5x|=2

The solution is x= 4/5 \lor x= 8/5

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∣ 6 - 5 x ∣ = 2

x = \frac{4}{5} or x = \frac{8}{5}

Solution steps

∣ 6 - 5 x ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 - 5 x = - 2 or 6 - 5 x = 2

6 - 5 x = - 2 or 6 - 5 x = 2

x = \frac{4}{5} or x = \frac{8}{5}

∣ 2 b - 2 ∣ = 2

4 - 6 ∣ 5 x - 2 ∣ = - 26

∣ 8 x - 2 ∣ = 66

\frac{x}{3} - 2 = 4

10 - 3 ∣ 3 + 6 x ∣ = 1