What is the answer to 8+|4x+7|=17 ?

The answer to 8+|4x+7|=17 is x=-4\lor x= 1/2

Solve for x: 8+|4x+7|=17

The solution is x=-4\lor x= 1/2

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8 + ∣ 4 x + 7 ∣ = 17

x = - 4 or x = \frac{1}{2}

Decimal Notation

x = - 4, x = 0.5

Solution steps

8 + ∣ 4 x + 7 ∣ = 17

Move

8

to the right side

∣ 4 x + 7 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 7 = - 9 or 4 x + 7 = 9

4 x + 7 = - 9 or 4 x + 7 = 9

x = - 4 or x = \frac{1}{2}

∣ 2 x - 3 ∣ = 4 x - 1

∣ y - 1 ∣ + 17 = 23

4 ∣ 7 y + 2 ∣ - 8 = - 7

∣ 3 x - 2 ∣ = 2 x + 8

43 = ∣ y - 8 ∣

What is the answer to 8+|4x+7|=17 ?
The answer to 8+|4x+7|=17 is x=-4\lor x= 1/2
Solve for x: 8+|4x+7|=17
The solution is x=-4\lor x= 1/2