What is the answer to |2x-7|-4=-3 ?

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

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|2x-7|-4=-3

∣ 2 x - 7 ∣ - 4 = - 3

x = 3 or x = 4

Solution steps

∣ 2 x - 7 ∣ - 4 = - 3

Move

4

to the right side

∣ 2 x - 7 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 7 = - 1 or 2 x - 7 = 1

2 x - 7 = - 1 or 2 x - 7 = 1

x = 3 or x = 4

∣ 3 x + 2 ∣ = x - 1

2 ∣ 2 [3 (x + 1) - 3] ∣ + 1 = 13

2 y + 6 = - ∣ y + 4 ∣

∣ 5 x + 3 ∣ + 2 = 9

x^{2} - 5 x + 3 = 0