What is the answer to |7+9x|=11 ?

The answer to |7+9x|=11 is x=-2\lor x= 4/9

Solve for x: |7+9x|=11

The solution is x=-2\lor x= 4/9

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∣ 7 + 9 x ∣ = 11

x = - 2 or x = \frac{4}{9}

Decimal Notation

x = - 2, x = 0.44444 \dots

Solution steps

∣ 7 + 9 x ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 + 9 x = - 11 or 7 + 9 x = 11

7 + 9 x = - 11 or 7 + 9 x = 11

x = - 2 or x = \frac{4}{9}

∣ 5 x - 28 ∣ + 7 = 20

∣ 3 x + 8 ∣ = 44

4 ∣ 3 x + 4 ∣ - 2 = 14

∣ n - 8 ∣ = 1

3 - 3 ∣ 3 x + 3 ∣ = - 21