What is the answer to 7|x-4|=20 ?

The answer to 7|x-4|=20 is x= 8/7 \lor x= 48/7

Solve for x: 7|x-4|=20

The solution is x= 8/7 \lor x= 48/7

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7 ∣ x - 4 ∣ = 20

x = \frac{8}{7} or x = \frac{48}{7}

Decimal Notation

x = 1.14285 \dots, x = 6.85714 \dots

Solution steps

7 ∣ x - 4 ∣ = 20

Divide both sides by

7

∣ x - 4 ∣ = \frac{20}{7}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 4 = - \frac{20}{7} or x - 4 = \frac{20}{7}

x - 4 = - \frac{20}{7} or x - 4 = \frac{20}{7}

x = \frac{8}{7} or x = \frac{48}{7}

∣ x - 5 ∣ = x - 5

∣ x ∣ = - 16

2 ∣ 2 x + 1 ∣ - 1 = 9

∣ 5 w + 3 ∣ = - 4

∣ x + 9 ∣ = 8

What is the answer to 7|x-4|=20 ?
The answer to 7|x-4|=20 is x= 8/7 \lor x= 48/7
Solve for x: 7|x-4|=20
The solution is x= 8/7 \lor x= 48/7