What is the answer to 4-5|10+5x|=-51 ?

The answer to 4-5|10+5x|=-51 is x=-21/5 \lor x= 1/5

Solve for x: 4-5|10+5x|=-51

The solution is x=-21/5 \lor x= 1/5

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4 - 5 ∣ 10 + 5 x ∣ = - 51

x = - \frac{21}{5} or x = \frac{1}{5}

Solution steps

4 - 5 ∣ 10 + 5 x ∣ = - 51

Move

4

to the right side

- 5 ∣ 10 + 5 x ∣ = - 55

Divide both sides by

- 5

∣ 10 + 5 x ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

10 + 5 x = - 11 or 10 + 5 x = 11

10 + 5 x = - 11 or 10 + 5 x = 11

x = - \frac{21}{5} or x = \frac{1}{5}

∣ b + 3 ∣ = 3

∣ 3 x - 6 ∣ = 12

∣ 8 w + 5 ∣ = 21

25 - x^{2} = x^{2} - 25

∣ - c + 14 ∣ = 17

What is the answer to 4-5|10+5x|=-51 ?
The answer to 4-5|10+5x|=-51 is x=-21/5 \lor x= 1/5
Solve for x: 4-5|10+5x|=-51
The solution is x=-21/5 \lor x= 1/5