What is the answer to 3+|2+5x|=12 ?

The answer to 3+|2+5x|=12 is x=-11/5 \lor x= 7/5

Solve for x: 3+|2+5x|=12

The solution is x=-11/5 \lor x= 7/5

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3 + ∣ 2 + 5 x ∣ = 12

x = - \frac{11}{5} or x = \frac{7}{5}

Solution steps

3 + ∣ 2 + 5 x ∣ = 12

Move

3

to the right side

∣ 2 + 5 x ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 + 5 x = - 9 or 2 + 5 x = 9

2 + 5 x = - 9 or 2 + 5 x = 9

x = - \frac{11}{5} or x = \frac{7}{5}

2 x + 9 \geq 7

x^{2} + 5 x - 10 = 0

6 x^{3} + 25 x^{2} - 29 x - 20

66 \cdot 2

- 2 x < 18

What is the answer to 3+|2+5x|=12 ?
The answer to 3+|2+5x|=12 is x=-11/5 \lor x= 7/5
Solve for x: 3+|2+5x|=12
The solution is x=-11/5 \lor x= 7/5