What is the answer to (|x|+2)/5 = 5/6 ?

The answer to (|x|+2)/5 = 5/6 is x=-13/6 \lor x= 13/6

Solve for x: (|x|+2)/5 = 5/6

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

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\frac{∣ x ∣ + 2}{5} = \frac{5}{6}

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

Decimal Notation

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

Solution steps

\frac{∣ x ∣ + 2}{5} = \frac{5}{6}

Multiply both sides by

5

∣ x ∣ + 2 = \frac{25}{6}

Move

2

to the right side

∣ x ∣ = \frac{13}{6}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

∣ x ∣ + 2 = 3

2 ∣ x ∣ + ∣ x - 1 ∣ = 5

∣ x + 1 ∣ - ∣ x ∣ = \frac{x}{2}

2 ∣ x ∣ + ∣ x - 1 ∣ = 2

x^{2} - 4 x - 5 = 4

What is the answer to (|x|+2)/5 = 5/6 ?
The answer to (|x|+2)/5 = 5/6 is x=-13/6 \lor x= 13/6
Solve for x: (|x|+2)/5 = 5/6
The solution is x=-13/6 \lor x= 13/6