What is the answer to |9x+3|=7 ?

The answer to |9x+3|=7 is x=-10/9 \lor x= 4/9

Solve for x: |9x+3|=7

The solution is x=-10/9 \lor x= 4/9

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∣ 9 x + 3 ∣ = 7

x = - \frac{10}{9} or x = \frac{4}{9}

Decimal Notation

x = - 1.11111 \dots, x = 0.44444 \dots

Solution steps

∣ 9 x + 3 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

9 x + 3 = - 7 or 9 x + 3 = 7

9 x + 3 = - 7 or 9 x + 3 = 7

x = - \frac{10}{9} or x = \frac{4}{9}

- 12 = - 4 ∣ 3 + 8 x ∣

- 9 = ∣ - 8 r ∣ - 6

∣ x - 9 ∣ + 5 = 8

∣ x ∣^{2} = 4

7 + ∣ x + 3 ∣ = 1