What is the answer to 8=|-2b+1| ?

The answer to 8=|-2b+1| is b=-7/2 \lor b= 9/2

Solve for b: 8=|-2b+1|

The solution is b=-7/2 \lor b= 9/2

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8 = ∣ - 2 b + 1 ∣

b = - \frac{7}{2} or b = \frac{9}{2}

Decimal Notation

b = - 3.5, b = 4.5

Solution steps

8 = ∣ - 2 b + 1 ∣

Switch sides

∣ - 2 b + 1 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 2 b + 1 = - 8 or - 2 b + 1 = 8

- 2 b + 1 = - 8 or - 2 b + 1 = 8

b = - \frac{7}{2} or b = \frac{9}{2}

∣ y - 5 ∣ - 2 = 10

2 ∣ 2 x + 3 ∣ + 7 = 13

∣ 8 + 2 x ∣ + 2 x = 40

∣ 2 m + 7 ∣ = 6 m + 13

5 - 2 ∣ x - 3 ∣ = 3