What is the answer to |(-3x+8)/4 |=5 ?

The answer to |(-3x+8)/4 |=5 is x=-4\lor x= 28/3

Solve for x: |(-3x+8)/4 |=5

The solution is x=-4\lor x= 28/3

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\frac{- 3 x + 8}{4} = 5

x = - 4 or x = \frac{28}{3}

Decimal Notation

x = - 4, x = 9.33333 \dots

Solution steps

\frac{- 3 x + 8}{4} = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{- 3 x + 8}{4} = - 5 or \frac{- 3 x + 8}{4} = 5

\frac{- 3 x + 8}{4} = - 5 or \frac{- 3 x + 8}{4} = 5

x = - 4 or x = \frac{28}{3}

3 ∣ x + 1 ∣ = 12

∣ - 9 + 10 b ∣ - 5 = 64

\frac{∣ 4 x - 2 ∣}{3} = - 3

\frac{1}{3} x + 5 = 14

∣ 2 x + 5 ∣ = 23

What is the answer to |(-3x+8)/4 |=5 ?
The answer to |(-3x+8)/4 |=5 is x=-4\lor x= 28/3
Solve for x: |(-3x+8)/4 |=5
The solution is x=-4\lor x= 28/3