What is the answer to 7|10x-2|-9=5 ?

The answer to 7|10x-2|-9=5 is x=0\lor x= 2/5

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7|10x-2|-9=5

7 ∣ 10 x - 2 ∣ - 9 = 5

x = 0 or x = \frac{2}{5}

Decimal Notation

x = 0, x = 0.4

Solution steps

7 ∣ 10 x - 2 ∣ - 9 = 5

Move

9

to the right side

7 ∣ 10 x - 2 ∣ = 14

Divide both sides by

7

∣ 10 x - 2 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

10 x - 2 = - 2 or 10 x - 2 = 2

10 x - 2 = - 2 or 10 x - 2 = 2

x = 0 or x = \frac{2}{5}

3 ∣ x - 4 ∣ = 15

\frac{2 x + 3}{5} = 5

\frac{4 x - 8}{6} = 4

∣ x - 2 ∣ - 4 = 0

4 ∣ a - 6 ∣ = 16

What is the answer to 7|10x-2|-9=5 ?
The answer to 7|10x-2|-9=5 is x=0\lor x= 2/5
Solve for x: 7|10x-2|-9=5
The solution is x=0\lor x= 2/5