What is the answer to |2-9x|=7 ?

The answer to |2-9x|=7 is x=-5/9 \lor x=1

Solve for x: |2-9x|=7

The solution is x=-5/9 \lor x=1

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∣ 2 - 9 x ∣ = 7

x = - \frac{5}{9} or x = 1

Decimal

x = - 0.55555 \dots, x = 1

Solution steps

∣ 2 - 9 x ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 - 9 x = - 7 or 2 - 9 x = 7

2 - 9 x = - 7 or 2 - 9 x = 7

x = - \frac{5}{9} or x = 1

∣ x - 2 ∣ = 2 x + 3

∣ x - 3 ∣ = 4 x - 7

∣ x - 3 ∣ + ∣ x - 1 ∣ = 5

∣ x - 3 ∣ + ∣ x - 1 ∣ = 2

∣ 2 x + 3 ∣ - ∣ x + 4 ∣ = 6