What is the answer to -3|5x-2|+2=-13 ?

The answer to -3|5x-2|+2=-13 is x=-3/5 \lor x= 7/5

Solve for x: -3|5x-2|+2=-13

The solution is x=-3/5 \lor x= 7/5

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- 3 ∣ 5 x - 2 ∣ + 2 = - 13

x = - \frac{3}{5} or x = \frac{7}{5}

Decimal Notation

x = - 0.6, x = 1.4

Solution steps

- 3 ∣ 5 x - 2 ∣ + 2 = - 13

Move

2

to the right side

- 3 ∣ 5 x - 2 ∣ = - 15

Divide both sides by

- 3

∣ 5 x - 2 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x - 2 = - 5 or 5 x - 2 = 5

5 x - 2 = - 5 or 5 x - 2 = 5

x = - \frac{3}{5} or x = \frac{7}{5}

3 ∣ 7 c - 7 ∣ - 9 = 12

∣ 5 + a ∣ - 5 = - 4

∣ 2 x + 4 ∣ - 5 = 6

3 ∣ 2 x - 5 ∣ + 12 = 7

∣ x - 2 ∣ + 3 x - 1 = 0

What is the answer to -3|5x-2|+2=-13 ?
The answer to -3|5x-2|+2=-13 is x=-3/5 \lor x= 7/5
Solve for x: -3|5x-2|+2=-13
The solution is x=-3/5 \lor x= 7/5