What is the answer to |5b+2|-1=7 ?

The answer to |5b+2|-1=7 is b=-2\lor b= 6/5

Solve for b: |5b+2|-1=7

The solution is b=-2\lor b= 6/5

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∣ 5 b + 2 ∣ - 1 = 7

b = - 2 or b = \frac{6}{5}

Decimal Notation

b = - 2, b = 1.2

Solution steps

∣ 5 b + 2 ∣ - 1 = 7

Move

1

to the right side

∣ 5 b + 2 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 b + 2 = - 8 or 5 b + 2 = 8

5 b + 2 = - 8 or 5 b + 2 = 8

b = - 2 or b = \frac{6}{5}

∣ d - 100 ∣ = 50

∣ - 10 n - 8 ∣ = 48

∣ 6 x ∣ = 7

ln ∣ y + 5 ∣ = x + ln (2)

3 - ∣ 4 x - 5 ∣ = - 15