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

The answer to (|4x+5|+8)/5 =3 is x=-3\lor x= 1/2

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

The solution is x=-3\lor x= 1/2

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\frac{∣ 4 x + 5 ∣ + 8}{5} = 3

x = - 3 or x = \frac{1}{2}

Decimal

x = - 3, x = 0.5

Solution steps

\frac{∣ 4 x + 5 ∣ + 8}{5} = 3

Multiply both sides by

5

∣ 4 x + 5 ∣ + 8 = 15

Move

8

to the right side

∣ 4 x + 5 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 5 = - 7 or 4 x + 5 = 7

4 x + 5 = - 7 or 4 x + 5 = 7

x = - 3 or x = \frac{1}{2}

∣ 2 m - 3 ∣ - 1 = 10

∣ 3 v + 12 ∣ = 0

∣ x + 4 ∣ - 7 = 14

∣ 2 y + 5 ∣ - 3 = 0

5 ∣ x - 2 ∣ = 3 ∣ x - 5 ∣

What is the answer to (|4x+5|+8)/5 =3 ?
The answer to (|4x+5|+8)/5 =3 is x=-3\lor x= 1/2
Solve for x: (|4x+5|+8)/5 =3
The solution is x=-3\lor x= 1/2