What is the answer to |3x-4|=5 ?

The answer to |3x-4|=5 is x=-1/3 \lor x=3

Solve for x: |3x-4|=5

The solution is x=-1/3 \lor x=3

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∣ 3 x - 4 ∣ = 5

x = - \frac{1}{3} or x = 3

Decimal Notation

x = - 0.33333 \dots, x = 3

Solution steps

∣ 3 x - 4 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 4 = - 5 or 3 x - 4 = 5

3 x - 4 = - 5 or 3 x - 4 = 5

x = - \frac{1}{3} or x = 3

\frac{4 - y}{5} - 5 y \geq 0

- x^{2} - x + 6

- 118 = - 5 (4 + 7 x) + 7

\frac{3}{10} = \frac{b + 7}{20}

\frac{1}{2} (- 2) + 1