What is the answer to 9|7-3x|=32 ?

The answer to 9|7-3x|=32 is x= 31/27 \lor x= 95/27

Solve for x: 9|7-3x|=32

The solution is x= 31/27 \lor x= 95/27

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9 ∣ 7 - 3 x ∣ = 32

x = \frac{31}{27} or x = \frac{95}{27}

Decimal Notation

x = 1.14814 \dots, x = 3.51851 \dots

Solution steps

9 ∣ 7 - 3 x ∣ = 32

Divide both sides by

9

∣ 7 - 3 x ∣ = \frac{32}{9}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 - 3 x = - \frac{32}{9} or 7 - 3 x = \frac{32}{9}

7 - 3 x = - \frac{32}{9} or 7 - 3 x = \frac{32}{9}

x = \frac{31}{27} or x = \frac{95}{27}

∣ x ∣ = - \frac{4}{11}

∣ x ∣ - 2 = 4 + 3 x - x^{2}

∣ 2 x - 3 ∣ + 5 = 16

∣ x - 4 ∣ - 2 = - 2

∣ x - 3 ∣ - 3 = 4

What is the answer to 9|7-3x|=32 ?
The answer to 9|7-3x|=32 is x= 31/27 \lor x= 95/27
Solve for x: 9|7-3x|=32
The solution is x= 31/27 \lor x= 95/27