What is the answer to |3b+4|-3=22 ?

The answer to |3b+4|-3=22 is b=-29/3 \lor b=7

Solve for b: |3b+4|-3=22

The solution is b=-29/3 \lor b=7

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∣ 3 b + 4 ∣ - 3 = 22

b = - \frac{29}{3} or b = 7

Decimal Notation

b = - 9.66666 \dots, b = 7

Solution steps

∣ 3 b + 4 ∣ - 3 = 22

Move

3

to the right side

∣ 3 b + 4 ∣ = 25

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 b + 4 = - 25 or 3 b + 4 = 25

3 b + 4 = - 25 or 3 b + 4 = 25

b = - \frac{29}{3} or b = 7

∣ x - 3 ∣ = 5 x + 5

∣ p ∣ - 2 = 8

∣ n ∣ - 5 = - 2

∣ 7 x ∣ = 9

∣ 7 x ∣ = 7

What is the answer to |3b+4|-3=22 ?
The answer to |3b+4|-3=22 is b=-29/3 \lor b=7
Solve for b: |3b+4|-3=22
The solution is b=-29/3 \lor b=7