What is the answer to |5x-7|-3=9 ?

The answer to |5x-7|-3=9 is x=-1\lor x= 19/5

Solve for x: |5x-7|-3=9

The solution is x=-1\lor x= 19/5

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∣ 5 x - 7 ∣ - 3 = 9

x = - 1 or x = \frac{19}{5}

Solution steps

∣ 5 x - 7 ∣ - 3 = 9

Move

3

to the right side

∣ 5 x - 7 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x - 7 = - 12 or 5 x - 7 = 12

5 x - 7 = - 12 or 5 x - 7 = 12

x = - 1 or x = \frac{19}{5}

∣ 3 x + 5 ∣ = 4

∣ 11 x - 4 ∣ = - 26

∣ 2 x - 8 ∣ = 10

∣ 7 - 2 x ∣ + 4 = 5

∣ x - 4 ∣ = x + 2