What is the answer to |4x-3|=15 ?

The answer to |4x-3|=15 is x=-3\lor x= 9/2

Solve for x: |4x-3|=15

The solution is x=-3\lor x= 9/2

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∣ 4 x - 3 ∣ = 15

x = - 3 or x = \frac{9}{2}

Decimal Notation

x = - 3, x = 4.5

Solution steps

∣ 4 x - 3 ∣ = 15

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 3 = - 15 or 4 x - 3 = 15

4 x - 3 = - 15 or 4 x - 3 = 15

x = - 3 or x = \frac{9}{2}

∣ f ∣ - 9 = - 5

∣ a + 2 ∣ = - 5

- 2 - 8 ∣ m - 2 ∣ = - 34

∣ 2 m - 6 ∣ = 10

2 x^{2} - 3 ∣ x ∣ = x