What is the answer to |3-7x|=4 ?

The answer to |3-7x|=4 is x=-1/7 \lor x=1

Solve for x: |3-7x|=4

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

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∣ 3 - 7 x ∣ = 4

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

Decimal Notation

x = - 0.14285 \dots, x = 1

Solution steps

∣ 3 - 7 x ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 - 7 x = - 4 or 3 - 7 x = 4

3 - 7 x = - 4 or 3 - 7 x = 4

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

6 x^{2} + x - 11 = 4

4 ∣ v - 5 ∣ = 16

\frac{1}{3} x + 4 = 3

∣ f - 6 ∣ = f + 8

∣ 3 x - 4 ∣ = 1