What is the answer to |2-3x|=5 ?

The answer to |2-3x|=5 is x=-1\lor x= 7/3

Solve for x: |2-3x|=5

The solution is x=-1\lor x= 7/3

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∣ 2 - 3 x ∣ = 5

x = - 1 or x = \frac{7}{3}

Decimal Notation

x = - 1, x = 2.33333 \dots

Solution steps

∣ 2 - 3 x ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 - 3 x = - 5 or 2 - 3 x = 5

2 - 3 x = - 5 or 2 - 3 x = 5

x = - 1 or x = \frac{7}{3}

16 x^{4} + 8 x^{2} - 3

(x - 4)^{2} = 2 x^{2} - 15 + 22

- 5 ∣ - 3 x + 2 ∣ - 2 = - 2

867

\frac{5}{2} (\frac{1}{4})