What is the answer to 5+|9+3x|=7 ?

The answer to 5+|9+3x|=7 is x=-11/3 \lor x=-7/3

Solve for x: 5+|9+3x|=7

The solution is x=-11/3 \lor x=-7/3

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5 + ∣ 9 + 3 x ∣ = 7

x = - \frac{11}{3} or x = - \frac{7}{3}

Decimal Notation

x = - 3.66666 \dots, x = - 2.33333 \dots

Solution steps

5 + ∣ 9 + 3 x ∣ = 7

Move

5

to the right side

∣ 9 + 3 x ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

9 + 3 x = - 2 or 9 + 3 x = 2

9 + 3 x = - 2 or 9 + 3 x = 2

x = - \frac{11}{3} or x = - \frac{7}{3}

∣ x + 3 ∣ = - 6

∣ 4 x ∣ = 36

∣ x + 4 ∣ = - (x + 4)

\frac{12 - x}{2} = 4 x

x^{2} - 2 x = x

What is the answer to 5+|9+3x|=7 ?
The answer to 5+|9+3x|=7 is x=-11/3 \lor x=-7/3
Solve for x: 5+|9+3x|=7
The solution is x=-11/3 \lor x=-7/3