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

The answer to |4x-7|=5 is x= 1/2 \lor x=3

Solve for x: |4x-7|=5

The solution is x= 1/2 \lor x=3

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∣ 4 x - 7 ∣ = 5

x = \frac{1}{2} or x = 3

Decimal Notation

x = 0.5, x = 3

Solution steps

∣ 4 x - 7 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 7 = - 5 or 4 x - 7 = 5

4 x - 7 = - 5 or 4 x - 7 = 5

x = \frac{1}{2} or x = 3

2 + 5 ∣ 3 x + 6 ∣ = 62

∣ 3 x + 9 ∣ = x + 2

3 ∣ 3 - 2 x ∣ = 15

∣ 6 x ∣ = 42

∣ 2 x + 1 ∣ = 3 - x