What is the answer to 8+3|4x+10|=29 ?

The answer to 8+3|4x+10|=29 is x=-17/4 \lor x=-3/4

Solve for x: 8+3|4x+10|=29

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

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8 + 3 ∣ 4 x + 10 ∣ = 29

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

Decimal Notation

x = - 4.25, x = - 0.75

Solution steps

8 + 3 ∣ 4 x + 10 ∣ = 29

Move

8

to the right side

3 ∣ 4 x + 10 ∣ = 21

Divide both sides by

3

∣ 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}

4 = 3 ∣ - 2 x ∣ + 4

- 4 ∣ 8 - 5 x ∣ = 13

∣ 2 x ∣ = 9

- 2 ∣ x + 5 ∣ + 4 = 2

∣ 4 x + 1 ∣ - 5 = 2 x

What is the answer to 8+3|4x+10|=29 ?
The answer to 8+3|4x+10|=29 is x=-17/4 \lor x=-3/4
Solve for x: 8+3|4x+10|=29
The solution is x=-17/4 \lor x=-3/4