What is the answer to 2|5x-4|-5=9 ?

The answer to 2|5x-4|-5=9 is x=-3/5 \lor x= 11/5

Solve for x: 2|5x-4|-5=9

The solution is x=-3/5 \lor x= 11/5

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2 ∣ 5 x - 4 ∣ - 5 = 9

x = - \frac{3}{5} or x = \frac{11}{5}

Decimal

x = - 0.6, x = 2.2

Solution steps

2 ∣ 5 x - 4 ∣ - 5 = 9

Move

5

to the right side

2 ∣ 5 x - 4 ∣ = 14

Divide both sides by

2

∣ 5 x - 4 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x - 4 = - 7 or 5 x - 4 = 7

5 x - 4 = - 7 or 5 x - 4 = 7

x = - \frac{3}{5} or x = \frac{11}{5}

∣ 7 x ∣ = 12

∣ 5 - 4 x ∣ = 0

∣ x + 1 ∣ = ∣ x + 3 ∣

∣ h + 4 ∣ = 11

f (x) = ∣ x ∣

What is the answer to 2|5x-4|-5=9 ?
The answer to 2|5x-4|-5=9 is x=-3/5 \lor x= 11/5
Solve for x: 2|5x-4|-5=9
The solution is x=-3/5 \lor x= 11/5