What is the answer to |6-5x|=14 ?

The answer to |6-5x|=14 is x=-8/5 \lor x=4

Solve for x: |6-5x|=14

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

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∣ 6 - 5 x ∣ = 14

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

Decimal Notation

x = - 1.6, x = 4

Solution steps

∣ 6 - 5 x ∣ = 14

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 - 5 x = - 14 or 6 - 5 x = 14

6 - 5 x = - 14 or 6 - 5 x = 14

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

∣ 14 x ∣ = 0

- 3 ∣ 4 w - 1 ∣ - 5 = 13

∣ x + 8 ∣ = 11

∣ 7 n + 2 ∣ = 54

0 = ∣ y + 6 ∣