What is the answer to |(5x-3)/2 |-2=1 ?

The answer to |(5x-3)/2 |-2=1 is x=-3/5 \lor x= 9/5

Solve for x: |(5x-3)/2 |-2=1

The solution is x=-3/5 \lor x= 9/5

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\frac{5 x - 3}{2} - 2 = 1

x = - \frac{3}{5} or x = \frac{9}{5}

Decimal Notation

x = - 0.6, x = 1.8

Solution steps

\frac{5 x - 3}{2} - 2 = 1

Move

2

to the right side

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

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - \frac{3}{5} or x = \frac{9}{5}

15.09 + 59.62 t - 15.86 t^{2} = 60

7 x^{2} - 43 x + 6 = 0

75 k^{4}

\frac{- 6}{9}

x^{2} + 4 x - 49 = 4 x

What is the answer to |(5x-3)/2 |-2=1 ?
The answer to |(5x-3)/2 |-2=1 is x=-3/5 \lor x= 9/5
Solve for x: |(5x-3)/2 |-2=1
The solution is x=-3/5 \lor x= 9/5