What is the answer to 7-3|x-2|=5 ?

The answer to 7-3|x-2|=5 is x= 4/3 \lor x= 8/3

Solve for x: 7-3|x-2|=5

The solution is x= 4/3 \lor x= 8/3

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7 - 3 ∣ x - 2 ∣ = 5

x = \frac{4}{3} or x = \frac{8}{3}

Decimal Notation

x = 1.33333 \dots, x = 2.66666 \dots

Solution steps

7 - 3 ∣ x - 2 ∣ = 5

Move

7

to the right side

- 3 ∣ x - 2 ∣ = - 2

Divide both sides by

- 3

∣ x - 2 ∣ = \frac{2}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = \frac{4}{3} or x = \frac{8}{3}

∣ 3 n + 12 ∣ = 2 n

∣ 10 x - 4 ∣ = 3

∣ 4 t - 3 ∣ = 6

∣ x ∣ + 3 x + 1 = 0

∣ 2 x + 2 ∣ = 6 x - 18

What is the answer to 7-3|x-2|=5 ?
The answer to 7-3|x-2|=5 is x= 4/3 \lor x= 8/3
Solve for x: 7-3|x-2|=5
The solution is x= 4/3 \lor x= 8/3