What is the answer to |6x+1|+5=17 ?

The answer to |6x+1|+5=17 is x=-13/6 \lor x= 11/6

Solve for x: |6x+1|+5=17

The solution is x=-13/6 \lor x= 11/6

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∣ 6 x + 1 ∣ + 5 = 17

x = - \frac{13}{6} or x = \frac{11}{6}

Decimal Notation

x = - 2.16666 \dots, x = 1.83333 \dots

Solution steps

∣ 6 x + 1 ∣ + 5 = 17

Move

5

to the right side

∣ 6 x + 1 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 x + 1 = - 12 or 6 x + 1 = 12

6 x + 1 = - 12 or 6 x + 1 = 12

x = - \frac{13}{6} or x = \frac{11}{6}

∣ m - 2 ∣ = 2

∣ 3 x + 2 ∣ = 8

2 ∣ 4 x - 5 ∣ - 8 = - 6

∣ x - 2 ∣ = 3 x

5 + ∣ x - 2 ∣ = 7

What is the answer to |6x+1|+5=17 ?
The answer to |6x+1|+5=17 is x=-13/6 \lor x= 11/6
Solve for x: |6x+1|+5=17
The solution is x=-13/6 \lor x= 11/6