What is the answer to |(2x-3)/7 |=3 ?

The answer to |(2x-3)/7 |=3 is x=-9\lor x=12

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|(2x-3)/7 |=3

\frac{2 x - 3}{7} = 3

x = - 9 or x = 12

Solution steps

\frac{2 x - 3}{7} = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{2 x - 3}{7} = - 3 or \frac{2 x - 3}{7} = 3

\frac{2 x - 3}{7} = - 3 or \frac{2 x - 3}{7} = 3

x = - 9 or x = 12

5^{\frac{1}{3}} \cdot 2 5^{\frac{1}{3}}

\frac{( - 9 + x )}{2} = - 8

3 x^{2} + 27 x = 0

- 12 < x < - 3

- \frac{2}{3} + 4

What is the answer to |(2x-3)/7 |=3 ?
The answer to |(2x-3)/7 |=3 is x=-9\lor x=12
Solve for x: |(2x-3)/7 |=3
The solution is x=-9\lor x=12