What is the answer to |4x-3|=5 ?

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

Solve for x: |4x-3|=5

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

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∣ 4 x - 3 ∣ = 5

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

Decimal Notation

x = - 0.5, x = 2

Solution steps

∣ 4 x - 3 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 3 = - 5 or 4 x - 3 = 5

4 x - 3 = - 5 or 4 x - 3 = 5

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

∣ 4 x - 3 ∣ = 2

∣ 4 x - 12 ∣ - 7 = - 3

∣ 4 x - 5 ∣ = 2 x - 3

3 - ∣ 4 x ∣ = 2

∣ 3 x - 7 ∣ = 1 - x