What is the answer to |2x-3|+7=10 ?

The answer to |2x-3|+7=10 is x=0\lor x=3

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|2x-3|+7=10

∣ 2 x - 3 ∣ + 7 = 10

x = 0 or x = 3

Solution steps

∣ 2 x - 3 ∣ + 7 = 10

Move

7

to the right side

∣ 2 x - 3 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = 0 or x = 3

3 ∣ x - 4 ∣ = 6

x + \frac{1}{2} = 2

∣ - 2 x - 1 ∣ = 11

∣ x - 1 ∣ = x

- 2 ∣ x - 7 ∣ = - 4