What is the answer to |7x+5|=19 ?

The answer to |7x+5|=19 is x=-24/7 \lor x=2

Solve for x: |7x+5|=19

The solution is x=-24/7 \lor x=2

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∣ 7 x + 5 ∣ = 19

x = - \frac{24}{7} or x = 2

Decimal Notation

x = - 3.42857 \dots, x = 2

Solution steps

∣ 7 x + 5 ∣ = 19

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 x + 5 = - 19 or 7 x + 5 = 19

7 x + 5 = - 19 or 7 x + 5 = 19

x = - \frac{24}{7} or x = 2

∣ x - 10 ∣ - 11 = 12 - 23

∣ 2 x + 1 ∣ = - 3

9 = ∣ d + 5 ∣

∣ 3 x + 1 ∣ = 2

5 ∣ x - 2 ∣ = 8