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

The answer to 7-3|x+2|=2 is x=-11/3 \lor x=-1/3

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

The solution is x=-11/3 \lor x=-1/3

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7 - 3 ∣ x + 2 ∣ = 2

x = - \frac{11}{3} or x = - \frac{1}{3}

Decimal

x = - 3.66666 \dots, x = - 0.33333 \dots

Solution steps

7 - 3 ∣ x + 2 ∣ = 2

Move

7

to the right side

- 3 ∣ x + 2 ∣ = - 5

Divide both sides by

- 3

∣ x + 2 ∣ = \frac{5}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 2 = - \frac{5}{3} or x + 2 = \frac{5}{3}

x + 2 = - \frac{5}{3} or x + 2 = \frac{5}{3}

x = - \frac{11}{3} or x = - \frac{1}{3}

∣ x - 3 ∣ + 7 = 0

- 8 = - 3 ∣ x - 5 ∣ - 2

∣ 5 x + 9 ∣ = - 3

∣ 4 x + 8 ∣ + 2 = 7

2 ∣ v - 3 ∣ + 6 = 34

What is the answer to 7-3|x+2|=2 ?
The answer to 7-3|x+2|=2 is x=-11/3 \lor x=-1/3
Solve for x: 7-3|x+2|=2
The solution is x=-11/3 \lor x=-1/3