What is the answer to |(-7x+2)/5 |=4 ?

The answer to |(-7x+2)/5 |=4 is x=-18/7 \lor x= 22/7

Solve for x: |(-7x+2)/5 |=4

The solution is x=-18/7 \lor x= 22/7

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\frac{- 7 x + 2}{5} = 4

x = - \frac{18}{7} or x = \frac{22}{7}

Decimal Notation

x = - 2.57142 \dots, x = 3.14285 \dots

Solution steps

\frac{- 7 x + 2}{5} = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{- 7 x + 2}{5} = - 4 or \frac{- 7 x + 2}{5} = 4

\frac{- 7 x + 2}{5} = - 4 or \frac{- 7 x + 2}{5} = 4

x = - \frac{18}{7} or x = \frac{22}{7}

∣ 4 x + 2 ∣ + 2 = 6

∣ 2 x - 3 ∣ = 20

- 2 ∣ - 3 x + 2 ∣ = - 4

3 ∣ x - 6 ∣ = 4

- 2 ∣ x - 3 ∣ = 0

What is the answer to |(-7x+2)/5 |=4 ?
The answer to |(-7x+2)/5 |=4 is x=-18/7 \lor x= 22/7
Solve for x: |(-7x+2)/5 |=4
The solution is x=-18/7 \lor x= 22/7