What is the answer to 5+|5x-7|=15 ?

The answer to 5+|5x-7|=15 is x=-3/5 \lor x= 17/5

Solve for x: 5+|5x-7|=15

The solution is x=-3/5 \lor x= 17/5

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5 + ∣ 5 x - 7 ∣ = 15

x = - \frac{3}{5} or x = \frac{17}{5}

Solution steps

5 + ∣ 5 x - 7 ∣ = 15

Move

5

to the right side

∣ 5 x - 7 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x - 7 = - 10 or 5 x - 7 = 10

5 x - 7 = - 10 or 5 x - 7 = 10

x = - \frac{3}{5} or x = \frac{17}{5}

2 ∣ 5 x ∣ = 10

\frac{x}{2} - 1 - 3 = 0

∣ 3 x + 2 ∣ = 4 - 2 x

x^{2} - 3 = 1

- 5 - ∣ - 3 - 4 x ∣ = 11

What is the answer to 5+|5x-7|=15 ?
The answer to 5+|5x-7|=15 is x=-3/5 \lor x= 17/5
Solve for x: 5+|5x-7|=15
The solution is x=-3/5 \lor x= 17/5