What is the answer to 2|5x+7|-4=14 ?

The answer to 2|5x+7|-4=14 is x=-16/5 \lor x= 2/5

Solve for x: 2|5x+7|-4=14

The solution is x=-16/5 \lor x= 2/5

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2 ∣ 5 x + 7 ∣ - 4 = 14

x = - \frac{16}{5} or x = \frac{2}{5}

Solution steps

2 ∣ 5 x + 7 ∣ - 4 = 14

Move

4

to the right side

2 ∣ 5 x + 7 ∣ = 18

Divide both sides by

2

∣ 5 x + 7 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x + 7 = - 9 or 5 x + 7 = 9

5 x + 7 = - 9 or 5 x + 7 = 9

x = - \frac{16}{5} or x = \frac{2}{5}

8 ∣ - 4 n - 3 ∣ - 1 = - 25

∣ x + 2 ∣ = \frac{1}{3}

\frac{∣ x ∣}{8} = 3

∣ 4 x - 4 ∣ = 8

∣ 2 x + 3 ∣ - 7 = 0

What is the answer to 2|5x+7|-4=14 ?
The answer to 2|5x+7|-4=14 is x=-16/5 \lor x= 2/5
Solve for x: 2|5x+7|-4=14
The solution is x=-16/5 \lor x= 2/5