What is the answer to |(3x)/4-1|=4 ?

The answer to |(3x)/4-1|=4 is x=-4\lor x= 20/3

Solve for x: |(3x)/4-1|=4

The solution is x=-4\lor x= 20/3

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\frac{3 x}{4} - 1 = 4

x = - 4 or x = \frac{20}{3}

Decimal Notation

x = - 4, x = 6.66666 \dots

Solution steps

\frac{3 x}{4} - 1 = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{3 x}{4} - 1 = - 4 or \frac{3 x}{4} - 1 = 4

\frac{3 x}{4} - 1 = - 4 or \frac{3 x}{4} - 1 = 4

x = - 4 or x = \frac{20}{3}

∣ x - 5 ∣ = 1

∣ 3 x + 2 ∣ = 5 - x

∣ 3 x - 4 ∣ = 3 x + 4

3 ∣ x - 6 ∣ = 10

4 - ∣ x ∣ = 1

What is the answer to |(3x)/4-1|=4 ?
The answer to |(3x)/4-1|=4 is x=-4\lor x= 20/3
Solve for x: |(3x)/4-1|=4
The solution is x=-4\lor x= 20/3