What is the answer to |-5b+3|=33 ?

The answer to |-5b+3|=33 is b=-6\lor b= 36/5

Solve for b: |-5b+3|=33

The solution is b=-6\lor b= 36/5

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∣ - 5 b + 3 ∣ = 33

b = - 6 or b = \frac{36}{5}

Solution steps

∣ - 5 b + 3 ∣ = 33

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 5 b + 3 = - 33 or - 5 b + 3 = 33

- 5 b + 3 = - 33 or - 5 b + 3 = 33

b = - 6 or b = \frac{36}{5}

∣ 2 x - 1 ∣ = x - 5

∣ - 3 a + 5 ∣ = 9

∣ 4 c - 10 ∣ = 50

7 ∣ x + 3 ∣ = 42

∣ b + 16 ∣ = 34