What is the answer to 4-|3x+5|=3 ?

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

Solve for x: 4-|3x+5|=3

The solution is x=-2\lor x=-4/3

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4 - ∣ 3 x + 5 ∣ = 3

x = - 2 or x = - \frac{4}{3}

Decimal Notation

x = - 2, x = - 1.33333 \dots

Solution steps

4 - ∣ 3 x + 5 ∣ = 3

Move

4

to the right side

- ∣ 3 x + 5 ∣ = - 1

Divide both sides by

- 1

∣ 3 x + 5 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 5 = - 1 or 3 x + 5 = 1

3 x + 5 = - 1 or 3 x + 5 = 1

x = - 2 or x = - \frac{4}{3}

∣ 2 x + 9 ∣ = 30

∣ - 5 n ∣ = 5

∣ 2 - 3 x ∣ + 2 - 3 x = 6

∣ 4 x + 2 ∣ = 12

∣ x - 5 ∣ = 3 x + 2