What is the answer to |6x-3|=5 ?

The answer to |6x-3|=5 is x=-1/3 \lor x= 4/3

Solve for x: |6x-3|=5

The solution is x=-1/3 \lor x= 4/3

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∣ 6 x - 3 ∣ = 5

x = - \frac{1}{3} or x = \frac{4}{3}

Decimal Notation

x = - 0.33333 \dots, x = 1.33333 \dots

Solution steps

∣ 6 x - 3 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 x - 3 = - 5 or 6 x - 3 = 5

6 x - 3 = - 5 or 6 x - 3 = 5

x = - \frac{1}{3} or x = \frac{4}{3}

\frac{2}{3} x - 6 = 2

2 ∣ 8 t + 4 ∣ + 5 = 14

∣ x + 7 ∣ = 9

∣ x + 7 ∣ = 5

- 2 ∣ 3 x - 6 ∣ + 5 = 1