What is the answer to |5x-3|=12 ?

The answer to |5x-3|=12 is x=-9/5 \lor x=3

Solve for x: |5x-3|=12

The solution is x=-9/5 \lor x=3

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∣ 5 x - 3 ∣ = 12

x = - \frac{9}{5} or x = 3

Decimal Notation

x = - 1.8, x = 3

Solution steps

∣ 5 x - 3 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x - 3 = - 12 or 5 x - 3 = 12

5 x - 3 = - 12 or 5 x - 3 = 12

x = - \frac{9}{5} or x = 3

∣ 13 x ∣ = 0

s^{2} + 10 s + 1 = 0

∣ x ∣ = 12

\frac{1}{2} x + 8 = 10

x^{2} + 13 = 4 x