What is the answer to 7|x-4|=4 ?

The answer to 7|x-4|=4 is x= 24/7 \lor x= 32/7

Solve for x: 7|x-4|=4

The solution is x= 24/7 \lor x= 32/7

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7 ∣ x - 4 ∣ = 4

x = \frac{24}{7} or x = \frac{32}{7}

Decimal Notation

x = 3.42857 \dots, x = 4.57142 \dots

Solution steps

7 ∣ x - 4 ∣ = 4

Divide both sides by

7

∣ x - 4 ∣ = \frac{4}{7}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 4 = - \frac{4}{7} or x - 4 = \frac{4}{7}

x - 4 = - \frac{4}{7} or x - 4 = \frac{4}{7}

x = \frac{24}{7} or x = \frac{32}{7}

x, ∣ x + y ∣ = 1

\frac{3}{4} x - 3 = 9

∣ 4 x - 1 ∣ - 7 = 0

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

∣ 3 x - 9 ∣ = 12