What is the answer to |4x-5|=7 ?

The answer to |4x-5|=7 is x=-1/2 \lor x=3

Solve for x: |4x-5|=7

The solution is x=-1/2 \lor x=3

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∣ 4 x - 5 ∣ = 7

x = - \frac{1}{2} or x = 3

Decimal Notation

x = - 0.5, x = 3

Solution steps

∣ 4 x - 5 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 5 = - 7 or 4 x - 5 = 7

4 x - 5 = - 7 or 4 x - 5 = 7

x = - \frac{1}{2} or x = 3

∣ 5 x + 15 ∣ = 10

∣ x - 3 ∣ - 10 = - 5

\frac{x + 4}{5} = - 5

∣ 5 m + 1 ∣ = 9

∣ u ∣ = 6