What is the answer to 3|x-4|=4 ?

The answer to 3|x-4|=4 is x= 8/3 \lor x= 16/3

Solve for x: 3|x-4|=4

The solution is x= 8/3 \lor x= 16/3

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3 ∣ x - 4 ∣ = 4

x = \frac{8}{3} or x = \frac{16}{3}

Decimal Notation

x = 2.66666 \dots, x = 5.33333 \dots

Solution steps

3 ∣ x - 4 ∣ = 4

Divide both sides by

3

∣ x - 4 ∣ = \frac{4}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 4 = - \frac{4}{3} or x - 4 = \frac{4}{3}

x - 4 = - \frac{4}{3} or x - 4 = \frac{4}{3}

x = \frac{8}{3} or x = \frac{16}{3}

4 ∣ 10 x ∣ - 3 = 117

∣ 8 + 7 x ∣ = 11 x - 2

- ∣ 3 + x ∣ = 1

\frac{1}{2} ∣ x ∣ + 3 = 3

∣ - 3 x ∣ + 11 = - 5