What is the answer to (|7x+4|)/8 =3 ?

The answer to (|7x+4|)/8 =3 is x=-4\lor x= 20/7

Solve for x: (|7x+4|)/8 =3

The solution is x=-4\lor x= 20/7

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\frac{∣ 7 x + 4 ∣}{8} = 3

x = - 4 or x = \frac{20}{7}

Decimal Notation

x = - 4, x = 2.85714 \dots

Solution steps

\frac{∣ 7 x + 4 ∣}{8} = 3

Multiply both sides by

8

∣ 7 x + 4 ∣ = 24

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 x + 4 = - 24 or 7 x + 4 = 24

7 x + 4 = - 24 or 7 x + 4 = 24

x = - 4 or x = \frac{20}{7}

∣ 2 x - 3 ∣ + 7 = 10

3 ∣ x - 4 ∣ = 6

x + \frac{1}{2} = 2

∣ - 2 x - 1 ∣ = 11

∣ x - 1 ∣ = x

What is the answer to (|7x+4|)/8 =3 ?
The answer to (|7x+4|)/8 =3 is x=-4\lor x= 20/7
Solve for x: (|7x+4|)/8 =3
The solution is x=-4\lor x= 20/7