What is the answer to 5|x-4|-5=2 ?

The answer to 5|x-4|-5=2 is x= 13/5 \lor x= 27/5

Solve for x: 5|x-4|-5=2

The solution is x= 13/5 \lor x= 27/5

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5 ∣ x - 4 ∣ - 5 = 2

x = \frac{13}{5} or x = \frac{27}{5}

Decimal Notation

x = 2.6, x = 5.4

Solution steps

5 ∣ x - 4 ∣ - 5 = 2

Move

5

to the right side

5 ∣ x - 4 ∣ = 7

Divide both sides by

5

∣ x - 4 ∣ = \frac{7}{5}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 4 = - \frac{7}{5} or x - 4 = \frac{7}{5}

x - 4 = - \frac{7}{5} or x - 4 = \frac{7}{5}

x = \frac{13}{5} or x = \frac{27}{5}

∣ 3 x - 4 ∣ = 11

∣ x + 1 ∣ = x - 3

∣ x + 1 ∣ = x - 1

∣ 5 x - 1 ∣ = x - 2

∣ 8 x + 12 - 7 x ∣ + 3 x - 2 = 0

What is the answer to 5|x-4|-5=2 ?
The answer to 5|x-4|-5=2 is x= 13/5 \lor x= 27/5
Solve for x: 5|x-4|-5=2
The solution is x= 13/5 \lor x= 27/5