What is the answer to 8+|7+4x|=14 ?

The answer to 8+|7+4x|=14 is x=-13/4 \lor x=-1/4

Solve for x: 8+|7+4x|=14

The solution is x=-13/4 \lor x=-1/4

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8 + ∣ 7 + 4 x ∣ = 14

x = - \frac{13}{4} or x = - \frac{1}{4}

Decimal

x = - 3.25, x = - 0.25

Solution steps

8 + ∣ 7 + 4 x ∣ = 14

Move

8

to the right side

∣ 7 + 4 x ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 + 4 x = - 6 or 7 + 4 x = 6

7 + 4 x = - 6 or 7 + 4 x = 6

x = - \frac{13}{4} or x = - \frac{1}{4}

∣ 4 x - 2 ∣ + 10 = 16

10 ∣ 2 x - 1 ∣ + 9 = 59

∣ x - 3 ∣ + 1 = 1

∣ x - 15 ∣ = 20

\frac{1}{5} ∣ x + 28 ∣ = 3 x

What is the answer to 8+|7+4x|=14 ?
The answer to 8+|7+4x|=14 is x=-13/4 \lor x=-1/4
Solve for x: 8+|7+4x|=14
The solution is x=-13/4 \lor x=-1/4