What is the answer to |b+5|=2b+3 ?

The answer to |b+5|=2b+3 is b=2

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|b+5|=2b+3

∣ b + 5 ∣ = 2 b + 3

b = 2

Solution steps

∣ b + 5 ∣ = 2 b + 3

Find positive and negative intervals

b < - 5, b \geq - 5

Solve the inequality for each interval

No Solution or b = 2

b = 2

∣ 2 z - 5 ∣ = 4 z - 3

∣ 4 x - 7 ∣ = 1

∣ 5 x - 1 ∣ = 14

15 = ∣ b - 14 ∣

\frac{b}{9} = 7