What is the answer to |2x-3|+5=10 ?

The answer to |2x-3|+5=10 is x=-1\lor x=4

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|2x-3|+5=10

∣ 2 x - 3 ∣ + 5 = 10

x = - 1 or x = 4

Solution steps

∣ 2 x - 3 ∣ + 5 = 10

Move

5

to the right side

∣ 2 x - 3 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 3 = - 5 or 2 x - 3 = 5

2 x - 3 = - 5 or 2 x - 3 = 5

x = - 1 or x = 4

\frac{a}{11} = 12

∣ 5 x ∣ = 5

∣ 3 x - 3 ∣ + 9 = x

2 ∣ x + 8 ∣ = 20

∣ y + 6 ∣ = 38