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

Multiply both sides by

5

∣ - 7 x + 2 ∣ = 20

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 7 x + 2 = - 20 or - 7 x + 2 = 20

- 7 x + 2 = - 20 or - 7 x + 2 = 20

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

\frac{b}{5} = 6

∣ y + 2 ∣ = 8

∣ 5 x - 4 ∣ + 5 = 4 x

∣ - 2 b - 10 ∣ = 0

- 10 - 7 ∣ n - 4 ∣ = 74

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