What is the answer to 6|x+4|-4=3 ?

The answer to 6|x+4|-4=3 is x=-31/6 \lor x=-17/6

Solve for x: 6|x+4|-4=3

The solution is x=-31/6 \lor x=-17/6

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6 ∣ x + 4 ∣ - 4 = 3

x = - \frac{31}{6} or x = - \frac{17}{6}

Decimal Notation

x = - 5.16666 \dots, x = - 2.83333 \dots

Solution steps

6 ∣ x + 4 ∣ - 4 = 3

Move

4

to the right side

6 ∣ x + 4 ∣ = 7

Divide both sides by

6

∣ x + 4 ∣ = \frac{7}{6}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 4 = - \frac{7}{6} or x + 4 = \frac{7}{6}

x + 4 = - \frac{7}{6} or x + 4 = \frac{7}{6}

x = - \frac{31}{6} or x = - \frac{17}{6}

\frac{- 5}{3}

- 5 x - 3 \leq 6

7 a + 12 a + 7 a = 360

\frac{1}{20} + \frac{9}{8}

- \frac{21}{10} + 5

What is the answer to 6|x+4|-4=3 ?
The answer to 6|x+4|-4=3 is x=-31/6 \lor x=-17/6
Solve for x: 6|x+4|-4=3
The solution is x=-31/6 \lor x=-17/6