What is the answer to 5|x-2|=4 ?

The answer to 5|x-2|=4 is x= 6/5 \lor x= 14/5

Solve for x: 5|x-2|=4

The solution is x= 6/5 \lor x= 14/5

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5 ∣ x - 2 ∣ = 4

x = \frac{6}{5} or x = \frac{14}{5}

Decimal Notation

x = 1.2, x = 2.8

Solution steps

5 ∣ x - 2 ∣ = 4

Divide both sides by

5

∣ x - 2 ∣ = \frac{4}{5}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 2 = - \frac{4}{5} or x - 2 = \frac{4}{5}

x - 2 = - \frac{4}{5} or x - 2 = \frac{4}{5}

x = \frac{6}{5} or x = \frac{14}{5}

∣ w + 9 ∣ = 17

∣ 4 x - 1 ∣ + 6 = 3 x

2 = \frac{y}{3}

∣ 5 x - 4 ∣ = 6

4 - 3 ∣ 2 x + 1 ∣ = - 32