What is the answer to |4x-18|-7=-5 ?

The answer to |4x-18|-7=-5 is x=4\lor x=5

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|4x-18|-7=-5

∣ 4 x - 18 ∣ - 7 = - 5

x = 4 or x = 5

Solution steps

∣ 4 x - 18 ∣ - 7 = - 5

Move

7

to the right side

∣ 4 x - 18 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 18 = - 2 or 4 x - 18 = 2

4 x - 18 = - 2 or 4 x - 18 = 2

x = 4 or x = 5

∣ 3 - 2 y ∣ = 5

∣ x ∣ + 6 = 13

4 - ∣ 3 x + 5 ∣ = 6 x - 10

\frac{∣ 10 n ∣}{7} = - 1

∣ 4 - x ∣ - 10 = 1