What is the answer to |7x-5|=9 ?

The answer to |7x-5|=9 is x=-4/7 \lor x=2

Solve for x: |7x-5|=9

The solution is x=-4/7 \lor x=2

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∣ 7 x - 5 ∣ = 9

x = - \frac{4}{7} or x = 2

Decimal Notation

x = - 0.57142 \dots, x = 2

Solution steps

∣ 7 x - 5 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 x - 5 = - 9 or 7 x - 5 = 9

7 x - 5 = - 9 or 7 x - 5 = 9

x = - \frac{4}{7} or x = 2

∣ x - 5 ∣ = 4 x + 4

∣ 5 x ∣ = 30

5 x + 4 - x = 14 + ∣ x + 1 ∣

\frac{1}{2} ∣ x ∣ - 1 = 6

∣ x + 3 ∣ - 1 = 15