What is the answer to 7|3x|+2=16 ?

The answer to 7|3x|+2=16 is x=-2/3 \lor x= 2/3

Solve for x: 7|3x|+2=16

The solution is x=-2/3 \lor x= 2/3

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7 ∣ 3 x ∣ + 2 = 16

x = - \frac{2}{3} or x = \frac{2}{3}

Decimal Notation

x = - 0.66666 \dots, x = 0.66666 \dots

Solution steps

7 ∣ 3 x ∣ + 2 = 16

Move

2

to the right side

7 ∣ 3 x ∣ = 14

Divide both sides by

7

∣ 3 x ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x = - 2 or 3 x = 2

3 x = - 2 or 3 x = 2

x = - \frac{2}{3} or x = \frac{2}{3}

- 8 (x - 4) - 3 \leq 5

(x - 4) (x + 1) < 0

\frac{x}{4} \geq - 1 and - 4 x - 4 \leq - 3

\frac{1}{4} x + x = - 3 + \frac{1}{2} x

8 x^{2} - 4 x = 0

What is the answer to 7|3x|+2=16 ?
The answer to 7|3x|+2=16 is x=-2/3 \lor x= 2/3
Solve for x: 7|3x|+2=16
The solution is x=-2/3 \lor x= 2/3