What is the answer to 5|x-6|-5=2 ?

The answer to 5|x-6|-5=2 is x= 23/5 \lor x= 37/5

Solve for x: 5|x-6|-5=2

The solution is x= 23/5 \lor x= 37/5

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5 ∣ x - 6 ∣ - 5 = 2

x = \frac{23}{5} or x = \frac{37}{5}

Decimal Notation

x = 4.6, x = 7.4

Solution steps

5 ∣ x - 6 ∣ - 5 = 2

Move

5

to the right side

5 ∣ x - 6 ∣ = 7

Divide both sides by

5

∣ x - 6 ∣ = \frac{7}{5}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 6 = - \frac{7}{5} or x - 6 = \frac{7}{5}

x - 6 = - \frac{7}{5} or x - 6 = \frac{7}{5}

x = \frac{23}{5} or x = \frac{37}{5}

\frac{9 - 2 v}{2} = 1

\frac{∣ 8 + m ∣}{7} = 1

∣ 7 - 5 x ∣ = 7

∣ x ∣ - 7 = 2

∣ x ∣ = \frac{1}{2}

What is the answer to 5|x-6|-5=2 ?
The answer to 5|x-6|-5=2 is x= 23/5 \lor x= 37/5
Solve for x: 5|x-6|-5=2
The solution is x= 23/5 \lor x= 37/5