What is the answer to 5|x-4|=6 ?

The answer to 5|x-4|=6 is x= 14/5 \lor x= 26/5

Solve for x: 5|x-4|=6

The solution is x= 14/5 \lor x= 26/5

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5 ∣ x - 4 ∣ = 6

x = \frac{14}{5} or x = \frac{26}{5}

Decimal Notation

x = 2.8, x = 5.2

Solution steps

5 ∣ x - 4 ∣ = 6

Divide both sides by

5

∣ x - 4 ∣ = \frac{6}{5}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 4 = - \frac{6}{5} or x - 4 = \frac{6}{5}

x - 4 = - \frac{6}{5} or x - 4 = \frac{6}{5}

x = \frac{14}{5} or x = \frac{26}{5}

∣ 2 x + 3 ∣ = 3 x + 2

3 ∣ 5 n - 1 ∣ + 4 = 2

∣ 8 x ∣ = 40

∣ 2 x - 2 ∣ = 6

x - 10 = ∣ 7 x ∣ - 16