What is the answer to |(2x-3)/7 |=5 ?

The answer to |(2x-3)/7 |=5 is x=-16\lor x=19

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|(2x-3)/7 |=5

\frac{2 x - 3}{7} = 5

x = - 16 or x = 19

Solution steps

\frac{2 x - 3}{7} = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{2 x - 3}{7} = - 5 or \frac{2 x - 3}{7} = 5

\frac{2 x - 3}{7} = - 5 or \frac{2 x - 3}{7} = 5

x = - 16 or x = 19

5^{2} \cdot 5^{2}

- 2 (3) + 5

4 \cdot 4

(x + 4)^{2} = 81

16 \cdot 9

What is the answer to |(2x-3)/7 |=5 ?
The answer to |(2x-3)/7 |=5 is x=-16\lor x=19
Solve for x: |(2x-3)/7 |=5
The solution is x=-16\lor x=19