What is the answer to -4+5|9x-7|=11 ?

The answer to -4+5|9x-7|=11 is x= 4/9 \lor x= 10/9

Solve for x: -4+5|9x-7|=11

The solution is x= 4/9 \lor x= 10/9

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- 4 + 5 ∣ 9 x - 7 ∣ = 11

x = \frac{4}{9} or x = \frac{10}{9}

Solution steps

- 4 + 5 ∣ 9 x - 7 ∣ = 11

Move

4

to the right side

5 ∣ 9 x - 7 ∣ = 15

Divide both sides by

5

∣ 9 x - 7 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

9 x - 7 = - 3 or 9 x - 7 = 3

9 x - 7 = - 3 or 9 x - 7 = 3

x = \frac{4}{9} or x = \frac{10}{9}

∣ 1 - 2 t ∣ + 1 = 8

3 ∣ x + 7 ∣ = 15

3 ∣ x + 7 ∣ = 12

∣ x - 2 ∣ = - 3 x + 18

11 = 8 ∣ h ∣ - 3

What is the answer to -4+5|9x-7|=11 ?
The answer to -4+5|9x-7|=11 is x= 4/9 \lor x= 10/9
Solve for x: -4+5|9x-7|=11
The solution is x= 4/9 \lor x= 10/9