What is the answer to 8=3|x-7|+4 ?

The answer to 8=3|x-7|+4 is x= 17/3 \lor x= 25/3

Solve for x: 8=3|x-7|+4

The solution is x= 17/3 \lor x= 25/3

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8 = 3 ∣ x - 7 ∣ + 4

x = \frac{17}{3} or x = \frac{25}{3}

Decimal Notation

x = 5.66666 \dots, x = 8.33333 \dots

Solution steps

8 = 3 ∣ x - 7 ∣ + 4

Switch sides

3 ∣ x - 7 ∣ + 4 = 8

Move

4

to the right side

3 ∣ x - 7 ∣ = 4

Divide both sides by

3

∣ x - 7 ∣ = \frac{4}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 7 = - \frac{4}{3} or x - 7 = \frac{4}{3}

x - 7 = - \frac{4}{3} or x - 7 = \frac{4}{3}

x = \frac{17}{3} or x = \frac{25}{3}

∣ x + 8 ∣ = 16

∣ 4 n + 2 ∣ = 34

∣ x - 10 ∣ = 3

∣ y ∣ = - 8

∣ x - 2 ∣ = 5 x + 14

What is the answer to 8=3|x-7|+4 ?
The answer to 8=3|x-7|+4 is x= 17/3 \lor x= 25/3
Solve for x: 8=3|x-7|+4
The solution is x= 17/3 \lor x= 25/3