What is the answer to 4|5x-2|-10=42 ?

The answer to 4|5x-2|-10=42 is x=-11/5 \lor x=3

Solve for x: 4|5x-2|-10=42

The solution is x=-11/5 \lor x=3

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4 ∣ 5 x - 2 ∣ - 10 = 42

x = - \frac{11}{5} or x = 3

Decimal Notation

x = - 2.2, x = 3

Solution steps

4 ∣ 5 x - 2 ∣ - 10 = 42

Move

10

to the right side

4 ∣ 5 x - 2 ∣ = 52

Divide both sides by

4

∣ 5 x - 2 ∣ = 13

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x - 2 = - 13 or 5 x - 2 = 13

5 x - 2 = - 13 or 5 x - 2 = 13

x = - \frac{11}{5} or x = 3

3 - 5 ∣ - 7 x - 6 ∣ = 48

∣ 3 p + 9 ∣ = 39

∣ 7 x + 2 ∣ = 4 x + 11

∣ 4 x - 1 ∣ - 6 = 2 x + 2

∣ - 2 f ∣ - 2 = 8

What is the answer to 4|5x-2|-10=42 ?
The answer to 4|5x-2|-10=42 is x=-11/5 \lor x=3
Solve for x: 4|5x-2|-10=42
The solution is x=-11/5 \lor x=3