What is the answer to |6-8x|=14 ?

The answer to |6-8x|=14 is x=-1\lor x= 5/2

Solve for x: |6-8x|=14

The solution is x=-1\lor x= 5/2

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∣ 6 - 8 x ∣ = 14

x = - 1 or x = \frac{5}{2}

Decimal

x = - 1, x = 2.5

Solution steps

∣ 6 - 8 x ∣ = 14

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 - 8 x = - 14 or 6 - 8 x = 14

6 - 8 x = - 14 or 6 - 8 x = 14

x = - 1 or x = \frac{5}{2}

∣ x + 1 ∣ - 3 = 0

∣ x ∣ = 2.5

3 - \frac{1}{2} ∣ x + 9 ∣ = - 11

∣ 2 x - 5 ∣ + 18 = 11

\frac{4}{3} ∣ x + 4 ∣ - 1 = 3 x + 1