What is the answer to |4x-6|=7 ?

The answer to |4x-6|=7 is x=-1/4 \lor x= 13/4

Solve for x: |4x-6|=7

The solution is x=-1/4 \lor x= 13/4

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∣ 4 x - 6 ∣ = 7

x = - \frac{1}{4} or x = \frac{13}{4}

Decimal Notation

x = - 0.25, x = 3.25

Solution steps

∣ 4 x - 6 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 6 = - 7 or 4 x - 6 = 7

4 x - 6 = - 7 or 4 x - 6 = 7

x = - \frac{1}{4} or x = \frac{13}{4}

∣ y ∣ + 1 = 3

k, 12 = ∣ k ∣ - k

800 = ∣ 4 r + 800 ∣

1 = ∣ - k ∣ - 1

- 6 + 6 ∣ 5 x + 2 ∣ = 30