What is the answer to |4x-3|=7 ?

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

Solve for x: |4x-3|=7

The solution is x=-1\lor x= 5/2

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∣ 4 x - 3 ∣ = 7

x = - 1 or x = \frac{5}{2}

Solution steps

∣ 4 x - 3 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 3 = - 7 or 4 x - 3 = 7

4 x - 3 = - 7 or 4 x - 3 = 7

x = - 1 or x = \frac{5}{2}

8 = ∣ 5 y + 2 ∣

3 ∣ x - 2 ∣ = 12

∣ 2 x + 1 ∣ + 4 = x

- 3 ∣ 8 - x ∣ - 5 = - 11

∣ 8 k - 5 ∣ = 4 k - 23