What is the answer to 2+5|8b+9|=7 ?

The answer to 2+5|8b+9|=7 is b=-5/4 \lor b=-1

Solve for b: 2+5|8b+9|=7

The solution is b=-5/4 \lor b=-1

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2 + 5 ∣ 8 b + 9 ∣ = 7

b = - \frac{5}{4} or b = - 1

Solution steps

2 + 5 ∣ 8 b + 9 ∣ = 7

Move

2

to the right side

5 ∣ 8 b + 9 ∣ = 5

Divide both sides by

5

∣ 8 b + 9 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 b + 9 = - 1 or 8 b + 9 = 1

8 b + 9 = - 1 or 8 b + 9 = 1

b = - \frac{5}{4} or b = - 1

7 ∣ 8 - 3 h ∣ = - 21 h + 49

2 + ∣ x - 9 ∣ = 20

∣ 5 x + 12 ∣ = - 53

- 51 = 3 - ∣ 6 - 12 x ∣

3 = ∣ x - 10 ∣

What is the answer to 2+5|8b+9|=7 ?
The answer to 2+5|8b+9|=7 is b=-5/4 \lor b=-1
Solve for b: 2+5|8b+9|=7
The solution is b=-5/4 \lor b=-1