What is the answer to |4x-7|=19 ?

The answer to |4x-7|=19 is x=-3\lor x= 13/2

Solve for x: |4x-7|=19

The solution is x=-3\lor x= 13/2

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∣ 4 x - 7 ∣ = 19

x = - 3 or x = \frac{13}{2}

Decimal Notation

x = - 3, x = 6.5

Solution steps

∣ 4 x - 7 ∣ = 19

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 7 = - 19 or 4 x - 7 = 19

4 x - 7 = - 19 or 4 x - 7 = 19

x = - 3 or x = \frac{13}{2}

∣ 4 x - 8 ∣ + 1 = 5 x^{5} x

- 20 = - ∣ q ∣

∣ d - 1 ∣ = 5

∣ b + 17 ∣ = 40

3 - ∣ x + 5 ∣ = 5