What is the answer to |(6x-5)/4 |=7 ?

The answer to |(6x-5)/4 |=7 is x=-23/6 \lor x= 11/2

Solve for x: |(6x-5)/4 |=7

The solution is x=-23/6 \lor x= 11/2

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\frac{6 x - 5}{4} = 7

x = - \frac{23}{6} or x = \frac{11}{2}

Decimal

x = - 3.83333 \dots, x = 5.5

Solution steps

\frac{6 x - 5}{4} = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{6 x - 5}{4} = - 7 or \frac{6 x - 5}{4} = 7

\frac{6 x - 5}{4} = - 7 or \frac{6 x - 5}{4} = 7

x = - \frac{23}{6} or x = \frac{11}{2}

∣ 2 x - 5 ∣ = 6 x + 11

\frac{2 x}{3} + 5 = - 8

3 ∣ x - 1 ∣ + 4 = 10

∣ x + 2 ∣ = - 7

1 = \frac{2 x}{- 2.5 \times 2.5}

What is the answer to |(6x-5)/4 |=7 ?
The answer to |(6x-5)/4 |=7 is x=-23/6 \lor x= 11/2
Solve for x: |(6x-5)/4 |=7
The solution is x=-23/6 \lor x= 11/2