What is the answer to 10=6|x|+5 ?

The answer to 10=6|x|+5 is x=-5/6 \lor x= 5/6

Solve for x: 10=6|x|+5

The solution is x=-5/6 \lor x= 5/6

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10 = 6 ∣ x ∣ + 5

x = - \frac{5}{6} or x = \frac{5}{6}

Decimal Notation

x = - 0.83333 \dots, x = 0.83333 \dots

Solution steps

10 = 6 ∣ x ∣ + 5

Switch sides

6 ∣ x ∣ + 5 = 10

Move

5

to the right side

6 ∣ x ∣ = 5

Divide both sides by

6

∣ x ∣ = \frac{5}{6}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - \frac{5}{6} or x = \frac{5}{6}

2 ∣ x + 6 ∣ + 4 = 8

7 ∣ x - 4 ∣ = 18

7 ∣ x - 4 ∣ = 20

∣ x - 5 ∣ = x - 5

∣ x ∣ = - 16