What is the answer to |(2x-10)/7 |=7 ?

The answer to |(2x-10)/7 |=7 is x=-39/2 \lor x= 59/2

Solve for x: |(2x-10)/7 |=7

The solution is x=-39/2 \lor x= 59/2

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\frac{2 x - 10}{7} = 7

x = - \frac{39}{2} or x = \frac{59}{2}

Decimal Notation

x = - 19.5, x = 29.5

Solution steps

\frac{2 x - 10}{7} = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{2 x - 10}{7} = - 7 or \frac{2 x - 10}{7} = 7

\frac{2 x - 10}{7} = - 7 or \frac{2 x - 10}{7} = 7

x = - \frac{39}{2} or x = \frac{59}{2}

8 - 2 ∣ 3 n + 7 ∣ = - 54

- 5 ∣ m ∣ = 5

2 ∣ 8 x + 1 ∣ + 1 = 6

3 ∣ y + 4 ∣ - 9 = 0

∣ 2 x ∣ = 6 - x

What is the answer to |(2x-10)/7 |=7 ?
The answer to |(2x-10)/7 |=7 is x=-39/2 \lor x= 59/2
Solve for x: |(2x-10)/7 |=7
The solution is x=-39/2 \lor x= 59/2