What is the answer to |5-9x|=5 ?

The answer to |5-9x|=5 is x=0\lor x= 10/9

Solve for x: |5-9x|=5

The solution is x=0\lor x= 10/9

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∣ 5 - 9 x ∣ = 5

x = 0 or x = \frac{10}{9}

Decimal Notation

x = 0, x = 1.11111 \dots

Solution steps

∣ 5 - 9 x ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 - 9 x = - 5 or 5 - 9 x = 5

5 - 9 x = - 5 or 5 - 9 x = 5

x = 0 or x = \frac{10}{9}

∣ x + 1 ∣ + 9 = 3 x

∣ x ∣ = x + 7

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

3 ∣ x ∣ = 24

∣ - 2 - 4 n ∣ = 34