What is the answer to |(3x-4)/2 |=5 ?

The answer to |(3x-4)/2 |=5 is x=-2\lor x= 14/3

Solve for x: |(3x-4)/2 |=5

The solution is x=-2\lor x= 14/3

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\frac{3 x - 4}{2} = 5

x = - 2 or x = \frac{14}{3}

Solution steps

\frac{3 x - 4}{2} = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{3 x - 4}{2} = - 5 or \frac{3 x - 4}{2} = 5

\frac{3 x - 4}{2} = - 5 or \frac{3 x - 4}{2} = 5

x = - 2 or x = \frac{14}{3}

1 + \frac{4}{x - 2} \leq \frac{1}{x - 1}

\frac{5 + 3}{5 - 3}

2 n + 6

- 8 (x + 9) = 2 (x + 4)

x^{2} - 3 x - 4 = 0

What is the answer to |(3x-4)/2 |=5 ?
The answer to |(3x-4)/2 |=5 is x=-2\lor x= 14/3
Solve for x: |(3x-4)/2 |=5
The solution is x=-2\lor x= 14/3