What is the answer to |2-7x|=5 ?

The answer to |2-7x|=5 is x=-3/7 \lor x=1

Solve for x: |2-7x|=5

The solution is x=-3/7 \lor x=1

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∣ 2 - 7 x ∣ = 5

x = - \frac{3}{7} or x = 1

Decimal

x = - 0.42857 \dots, x = 1

Solution steps

∣ 2 - 7 x ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 - 7 x = - 5 or 2 - 7 x = 5

2 - 7 x = - 5 or 2 - 7 x = 5

x = - \frac{3}{7} or x = 1

x^{3} - ∣ x ∣^{4 x - 7} + 3 = 0

∣ x - 2 ∣ ∣ x + 4 ∣ = 3

2 \frac{x}{5} - 1 = 7

4 ∣ 4 x - 3 ∣ = 24

∣ 7 - 3 x ∣ + 10 = 8