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

The answer to 5|x-6|=6 is x= 24/5 \lor x= 36/5

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

The solution is x= 24/5 \lor x= 36/5

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5 ∣ x - 6 ∣ = 6

x = \frac{24}{5} or x = \frac{36}{5}

Decimal Notation

x = 4.8, x = 7.2

Solution steps

5 ∣ x - 6 ∣ = 6

Divide both sides by

5

∣ x - 6 ∣ = \frac{6}{5}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = \frac{24}{5} or x = \frac{36}{5}

∣ 2 g + 3 ∣ = g - 4

10 + ∣ 2 x - 12 ∣ - 14 = 0

3 ∣ x - 8 ∣ + 4 = 25

6 + ∣ 4 x + 2 ∣ = 20

∣ 3 x + 4 ∣ + 7 = 6