What is the answer to |8x-7|=33 ?

The answer to |8x-7|=33 is x=-13/4 \lor x=5

Solve for x: |8x-7|=33

The solution is x=-13/4 \lor x=5

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∣ 8 x - 7 ∣ = 33

x = - \frac{13}{4} or x = 5

Decimal Notation

x = - 3.25, x = 5

Solution steps

∣ 8 x - 7 ∣ = 33

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 x - 7 = - 33 or 8 x - 7 = 33

8 x - 7 = - 33 or 8 x - 7 = 33

x = - \frac{13}{4} or x = 5

∣ 1 - 2 x ∣ = x^{2}

4 = ∣ w + 2 ∣

∣ 6 - 10 r ∣ = 0

5 - 8 ∣ - 2 n ∣ = 75

2 ∣ y + 4 ∣ = 2