What is the answer to 5|2x-3|=1 ?

The answer to 5|2x-3|=1 is x= 7/5 \lor x= 8/5

Solve for x: 5|2x-3|=1

The solution is x= 7/5 \lor x= 8/5

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5 ∣ 2 x - 3 ∣ = 1

x = \frac{7}{5} or x = \frac{8}{5}

Decimal Notation

x = 1.4, x = 1.6

Solution steps

5 ∣ 2 x - 3 ∣ = 1

Divide both sides by

5

∣ 2 x - 3 ∣ = \frac{1}{5}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 3 = - \frac{1}{5} or 2 x - 3 = \frac{1}{5}

2 x - 3 = - \frac{1}{5} or 2 x - 3 = \frac{1}{5}

x = \frac{7}{5} or x = \frac{8}{5}

∣ x ∣ + x^{2} = 3 x

x^{2} - ∣ x ∣ + 1 = 0

3 x^{2} - 10 = - 1

∣ 4 b - 5 ∣ = 1

\frac{x - 2}{3} = 1