What is the answer to |3+7b|-8=51 ?

The answer to |3+7b|-8=51 is b=-62/7 \lor b=8

Solve for b: |3+7b|-8=51

The solution is b=-62/7 \lor b=8

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∣ 3 + 7 b ∣ - 8 = 51

b = - \frac{62}{7} or b = 8

Decimal Notation

b = - 8.85714 \dots, b = 8

Solution steps

∣ 3 + 7 b ∣ - 8 = 51

Move

8

to the right side

∣ 3 + 7 b ∣ = 59

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 + 7 b = - 59 or 3 + 7 b = 59

3 + 7 b = - 59 or 3 + 7 b = 59

b = - \frac{62}{7} or b = 8

2 ∣ x + 8 ∣ - 6 = 0

- 2 ∣ 2 x - 1 ∣ = - 6 x - 12

∣ 6 x - 3 ∣ + 2 x = x + 4

∣ x - 6 ∣ - 2 = - 5

∣ 3 x - 1 ∣ = \frac{1}{3}

What is the answer to |3+7b|-8=51 ?
The answer to |3+7b|-8=51 is b=-62/7 \lor b=8
Solve for b: |3+7b|-8=51
The solution is b=-62/7 \lor b=8