What is the answer to 7|x-4|=24 ?

The answer to 7|x-4|=24 is x= 4/7 \lor x= 52/7

Solve for x: 7|x-4|=24

The solution is x= 4/7 \lor x= 52/7

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7 ∣ x - 4 ∣ = 24

x = \frac{4}{7} or x = \frac{52}{7}

Decimal Notation

x = 0.57142 \dots, x = 7.42857 \dots

Solution steps

7 ∣ x - 4 ∣ = 24

Divide both sides by

7

∣ x - 4 ∣ = \frac{24}{7}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 4 = - \frac{24}{7} or x - 4 = \frac{24}{7}

x - 4 = - \frac{24}{7} or x - 4 = \frac{24}{7}

x = \frac{4}{7} or x = \frac{52}{7}

∣ x + 9 ∣ = 7

- 3 ∣ 2 w ∣ = - 6

x^{2} - 4 ∣ x ∣ + 4 = 0

∣ 9 - 5 x ∣ = 1

10 - 2 ∣ x - 1 ∣ = 1

What is the answer to 7|x-4|=24 ?
The answer to 7|x-4|=24 is x= 4/7 \lor x= 52/7
Solve for x: 7|x-4|=24
The solution is x= 4/7 \lor x= 52/7