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

The answer to |2x-7|=4 is x= 3/2 \lor x= 11/2

Solve for x: |2x-7|=4

The solution is x= 3/2 \lor x= 11/2

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∣ 2 x - 7 ∣ = 4

x = \frac{3}{2} or x = \frac{11}{2}

Decimal Notation

x = 1.5, x = 5.5

Solution steps

∣ 2 x - 7 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 7 = - 4 or 2 x - 7 = 4

2 x - 7 = - 4 or 2 x - 7 = 4

x = \frac{3}{2} or x = \frac{11}{2}

3 ∣ 2 z + 5 ∣ = 9 z - 6

∣ 6 x - 7 ∣ = 8 - x

∣ 6 x - 4 ∣ = 5

∣ - 10 n - 7 ∣ = 17

∣ 3 c ∣ = 18