What is the answer to |3b+9|-16=52 ?

The answer to |3b+9|-16=52 is b=-77/3 \lor b= 59/3

Solve for b: |3b+9|-16=52

The solution is b=-77/3 \lor b= 59/3

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∣ 3 b + 9 ∣ - 16 = 52

b = - \frac{77}{3} or b = \frac{59}{3}

Decimal

b = - 25.66666 \dots, b = 19.66666 \dots

Solution steps

∣ 3 b + 9 ∣ - 16 = 52

Move

16

to the right side

∣ 3 b + 9 ∣ = 68

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 b + 9 = - 68 or 3 b + 9 = 68

3 b + 9 = - 68 or 3 b + 9 = 68

b = - \frac{77}{3} or b = \frac{59}{3}

2 ∣ 3 x - 6 ∣ - 2 = 15

∣ - 2 x - 1 ∣ - 3 = 3 x + 16

∣ x - 2 ∣ = 10 - 3 x

∣ x - 2 ∣ - 8 = - 7

∣ 4 x + 2 ∣ - 6 = 24

What is the answer to |3b+9|-16=52 ?
The answer to |3b+9|-16=52 is b=-77/3 \lor b= 59/3
Solve for b: |3b+9|-16=52
The solution is b=-77/3 \lor b= 59/3