What is the answer to |3x-7|=20 ?

The answer to |3x-7|=20 is x=-13/3 \lor x=9

Solve for x: |3x-7|=20

The solution is x=-13/3 \lor x=9

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∣ 3 x - 7 ∣ = 20

x = - \frac{13}{3} or x = 9

Decimal

x = - 4.33333 \dots, x = 9

Solution steps

∣ 3 x - 7 ∣ = 20

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 7 = - 20 or 3 x - 7 = 20

3 x - 7 = - 20 or 3 x - 7 = 20

x = - \frac{13}{3} or x = 9

x^{2} - 4 x - 5 > 0

2 x + 8 = 16

(\frac{( - 1 + i 3 )}{2})^{2}

12 x^{2} + 4 x - 5 = 0

- 16 t^{2} + 40 t + 5 = 0