What is the answer to 3|x-sqrt(5)|+5=38 ?

The answer to 3|x-sqrt(5)|+5=38 is x=-11+sqrt(5)\lor x=11+sqrt(5)

Solve for x: 3|x-sqrt(5)|+5=38

The solution is x=-11+sqrt(5)\lor x=11+sqrt(5)

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3 x - 5 + 5 = 38

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

Solution steps

3 x - 5 + 5 = 38

Move

5

to the right side

3 x - 5 = 33

Divide both sides by

3

x - 5 = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 5 = - 11 or x - 5 = 11

x - 5 = - 11 or x - 5 = 11

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

∣ 9 x - 5 ∣ = 11

∣ 10 + 5 x ∣ = 15

- 5 = - 5 ∣ b ∣

- 4 ∣ 3 + 5 x ∣ - 10 = 78

2 ∣ x - 1 ∣ - 5 = 3

What is the answer to 3|x-sqrt(5)|+5=38 ?
The answer to 3|x-sqrt(5)|+5=38 is x=-11+sqrt(5)\lor x=11+sqrt(5)
Solve for x: 3|x-sqrt(5)|+5=38
The solution is x=-11+sqrt(5)\lor x=11+sqrt(5)