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

The answer to 5-|7x|=4 is x=-1/7 \lor x= 1/7

Solve for x: 5-|7x|=4

The solution is x=-1/7 \lor x= 1/7

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5 - ∣ 7 x ∣ = 4

x = - \frac{1}{7} or x = \frac{1}{7}

Decimal Notation

x = - 0.14285 \dots, x = 0.14285 \dots

Solution steps

5 - ∣ 7 x ∣ = 4

Move

5

to the right side

- ∣ 7 x ∣ = - 1

Divide both sides by

- 1

∣ 7 x ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 x = - 1 or 7 x = 1

7 x = - 1 or 7 x = 1

x = - \frac{1}{7} or x = \frac{1}{7}

- 3 = ∣ - 5 x ∣

\frac{3}{4} x - 5 = 7

x, 0 = ∣ x ∣ + y

∣ c + 1 ∣ = 2

6 - ∣ 4 - 8 b ∣ = - 12