What is the answer to |4x-15|=5 ?

The answer to |4x-15|=5 is x= 5/2 \lor x=5

Solve for x: |4x-15|=5

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

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∣ 4 x - 15 ∣ = 5

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

Decimal Notation

x = 2.5, x = 5

Solution steps

∣ 4 x - 15 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 15 = - 5 or 4 x - 15 = 5

4 x - 15 = - 5 or 4 x - 15 = 5

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

∣ 9 + 2 x ∣ = 3

∣ x + 5 ∣ = - 1

5 x^{2} - 25 x + 25 = 5

3 + ∣ x - 3 ∣ = 4 x

3 ∣ x + 2 ∣ = 18