What is the answer to -|4x+10|-7=-14 ?

The answer to -|4x+10|-7=-14 is x=-17/4 \lor x=-3/4

Solve for x: -|4x+10|-7=-14

The solution is x=-17/4 \lor x=-3/4

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- ∣ 4 x + 10 ∣ - 7 = - 14

x = - \frac{17}{4} or x = - \frac{3}{4}

Decimal Notation

x = - 4.25, x = - 0.75

Solution steps

- ∣ 4 x + 10 ∣ - 7 = - 14

Move

7

to the right side

- ∣ 4 x + 10 ∣ = - 7

Divide both sides by

- 1

∣ 4 x + 10 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 10 = - 7 or 4 x + 10 = 7

4 x + 10 = - 7 or 4 x + 10 = 7

x = - \frac{17}{4} or x = - \frac{3}{4}

∣ x ∣ = 2 x - 1

∣ 3 x - 7 ∣ + 7 = 12

x^{2} - 3 = 2

∣ r ∣ + 2 = 3

∣ 2 x - 2 ∣ = x + 1

What is the answer to -|4x+10|-7=-14 ?
The answer to -|4x+10|-7=-14 is x=-17/4 \lor x=-3/4
Solve for x: -|4x+10|-7=-14
The solution is x=-17/4 \lor x=-3/4