What is the answer to |8-7b|-5=4 ?

The answer to |8-7b|-5=4 is b=-1/7 \lor b= 17/7

Solve for b: |8-7b|-5=4

The solution is b=-1/7 \lor b= 17/7

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∣ 8 - 7 b ∣ - 5 = 4

b = - \frac{1}{7} or b = \frac{17}{7}

Decimal

b = - 0.14285 \dots, b = 2.42857 \dots

Solution steps

∣ 8 - 7 b ∣ - 5 = 4

Move

5

to the right side

∣ 8 - 7 b ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 - 7 b = - 9 or 8 - 7 b = 9

8 - 7 b = - 9 or 8 - 7 b = 9

b = - \frac{1}{7} or b = \frac{17}{7}

∣ r + 5 ∣ = 2

∣ 5 x - 4 ∣ + 3 = 3

∣ x - 3 ∣ = x - 1

∣ x + 4 ∣ - ∣ x - 2 ∣ = 10

∣ x + 7 ∣ = 2 x - 1

What is the answer to |8-7b|-5=4 ?
The answer to |8-7b|-5=4 is b=-1/7 \lor b= 17/7
Solve for b: |8-7b|-5=4
The solution is b=-1/7 \lor b= 17/7