What is the answer to |7x-5|=44 ?

The answer to |7x-5|=44 is x=-39/7 \lor x=7

Solve for x: |7x-5|=44

The solution is x=-39/7 \lor x=7

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∣ 7 x - 5 ∣ = 44

x = - \frac{39}{7} or x = 7

Decimal Notation

x = - 5.57142 \dots, x = 7

Solution steps

∣ 7 x - 5 ∣ = 44

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 x - 5 = - 44 or 7 x - 5 = 44

7 x - 5 = - 44 or 7 x - 5 = 44

x = - \frac{39}{7} or x = 7

∣ 5 w + 15 ∣ = 5

∣ x + 5 ∣ - 6 = 7

∣ x - 6 ∣ + 8 = 17

∣ x - 6 ∣ + 8 = 15

- 3 ∣ - 5 - 3 r ∣ = - 7