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

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

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|7-4x|=3

∣ 7 - 4 x ∣ = 3

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

Decimal Notation

x = 1, x = 2.5

Solution steps

∣ 7 - 4 x ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

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

6 ∣ x ∣ = 24

∣ 3 x - 9 ∣ = 21

7 = ∣ q + 5 ∣

∣ 6 p - 4 ∣ - 10 = 0

4 ∣ x + 7 ∣ = 16