What is the answer to 3|5-6x|-11=13 ?

The answer to 3|5-6x|-11=13 is x=-1/2 \lor x= 13/6

Solve for x: 3|5-6x|-11=13

The solution is x=-1/2 \lor x= 13/6

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3 ∣ 5 - 6 x ∣ - 11 = 13

x = - \frac{1}{2} or x = \frac{13}{6}

Decimal Notation

x = - 0.5, x = 2.16666 \dots

Solution steps

3 ∣ 5 - 6 x ∣ - 11 = 13

Move

11

to the right side

3 ∣ 5 - 6 x ∣ = 24

Divide both sides by

3

∣ 5 - 6 x ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 - 6 x = - 8 or 5 - 6 x = 8

5 - 6 x = - 8 or 5 - 6 x = 8

x = - \frac{1}{2} or x = \frac{13}{6}

∣ x + 8 ∣ = - 3 x

∣ - 8 x ∣ = 24

∣ n + 9 ∣ = 5 n - 3

∣ 3 x - 2 ∣ + 5 x - 6 = 0

∣ x + 8 ∣ + 2 = 7

What is the answer to 3|5-6x|-11=13 ?
The answer to 3|5-6x|-11=13 is x=-1/2 \lor x= 13/6
Solve for x: 3|5-6x|-11=13
The solution is x=-1/2 \lor x= 13/6