What is the answer to 10=|3x-5| ?

The answer to 10=|3x-5| is x=-5/3 \lor x=5

Solve for x: 10=|3x-5|

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

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10 = ∣ 3 x - 5 ∣

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

Decimal Notation

x = - 1.66666 \dots, x = 5

Solution steps

10 = ∣ 3 x - 5 ∣

Switch sides

∣ 3 x - 5 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 5 = - 10 or 3 x - 5 = 10

3 x - 5 = - 10 or 3 x - 5 = 10

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

∣ 3 x - 5 ∣ - 4 = 0

2 ∣ x - 2 ∣ - 3 = 9

∣ 2 x - 5 ∣ + 2 = 3

x^{2} - 8 ∣ x ∣ + 12 = 0

x^{2} - 3 = 2 x + 1