What is the answer to |4x-3|=11 ?

The answer to |4x-3|=11 is x=-2\lor x= 7/2

Solve for x: |4x-3|=11

The solution is x=-2\lor x= 7/2

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∣ 4 x - 3 ∣ = 11

x = - 2 or x = \frac{7}{2}

Decimal Notation

x = - 2, x = 3.5

Solution steps

∣ 4 x - 3 ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 3 = - 11 or 4 x - 3 = 11

4 x - 3 = - 11 or 4 x - 3 = 11

x = - 2 or x = \frac{7}{2}

∣ 9 + 2 x ∣ = 7

∣ 2 x ∣ = 1.5

3 = - 2 ∣ 41 s - 5 ∣ + 3

x^{2} + x - 28 = 28

∣ x + 5 ∣ = - 9