What is the answer to | 3/4 x-1|=6 ?

The answer to | 3/4 x-1|=6 is x=-20/3 \lor x= 28/3

Solve for x: | 3/4 x-1|=6

The solution is x=-20/3 \lor x= 28/3

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\frac{3}{4} x - 1 = 6

x = - \frac{20}{3} or x = \frac{28}{3}

Decimal

x = - 6.66666 \dots, x = 9.33333 \dots

Solution steps

\frac{3}{4} x - 1 = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{3}{4} x - 1 = - 6 or \frac{3}{4} x - 1 = 6

\frac{3}{4} x - 1 = - 6 or \frac{3}{4} x - 1 = 6

x = - \frac{20}{3} or x = \frac{28}{3}

x^{2} - 9 x + 8 = 10

∣ x - 2 ∣ = 3 ∣ x - 6 ∣

2 - ∣ x - 7 ∣ = - 3

- 3 ∣ x + 5 ∣ - 2 = 22

5 x - 4 + ∣ x + 5 ∣ = 4 x + 3

What is the answer to | 3/4 x-1|=6 ?
The answer to | 3/4 x-1|=6 is x=-20/3 \lor x= 28/3
Solve for x: | 3/4 x-1|=6
The solution is x=-20/3 \lor x= 28/3