What is the answer to |(2x-3)/5 |=3 ?

The answer to |(2x-3)/5 |=3 is x=-6\lor x=9

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|(2x-3)/5 |=3

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

x = - 6 or x = 9

Solution steps

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

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{2 x - 3}{5} = - 3 or \frac{2 x - 3}{5} = 3

\frac{2 x - 3}{5} = - 3 or \frac{2 x - 3}{5} = 3

x = - 6 or x = 9

- 3 x \leq - 6

3 w^{2} - w = 102

x^{2} - 20 x + 19

4 x + 70 = 9 x - 5

192 x^{2} - 16 = 0

What is the answer to |(2x-3)/5 |=3 ?
The answer to |(2x-3)/5 |=3 is x=-6\lor x=9
Solve for x: |(2x-3)/5 |=3
The solution is x=-6\lor x=9