What is the answer to -5|7b+8|+10=10 ?

The answer to -5|7b+8|+10=10 is b=-8/7

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-5|7b+8|+10=10

- 5 ∣ 7 b + 8 ∣ + 10 = 10

b = - \frac{8}{7}

Decimal Notation

b = - 1.14285 \dots

Solution steps

- 5 ∣ 7 b + 8 ∣ + 10 = 10

Subtract

10

from both sides

- 5 ∣ 7 b + 8 ∣ + 10 - 10 = 10 - 10

Simplify

- 5 ∣ 7 b + 8 ∣ = 0

Divide both sides by

- 5

∣ 7 b + 8 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

7 b + 8 = 0

7 b + 8 = 0 : b = - \frac{8}{7}

b = - \frac{8}{7}

∣ 6 y + 15 ∣ = 3

- 2 ∣ v ∣ = 14

∣ 2 x - 1 ∣ = - 6

5 ∣ - 9 f - 3 ∣ = 0

∣ x - 10 ∣ = x^{2} - 10