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

The answer to |2x-7|=2 is x= 5/2 \lor x= 9/2

Solve for x: |2x-7|=2

The solution is x= 5/2 \lor x= 9/2

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∣ 2 x - 7 ∣ = 2

x = \frac{5}{2} or x = \frac{9}{2}

Decimal

x = 2.5, x = 4.5

Solution steps

∣ 2 x - 7 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = \frac{5}{2} or x = \frac{9}{2}

20 = ∣ a - 9 ∣

∣ - 4 - r ∣ = 4

∣ 11 x + 10 ∣ = 22

∣ - 4 x ∣ = 12

∣ - 4 x ∣ = 28