What is the answer to |4x+7|-3=17 ?

The answer to |4x+7|-3=17 is x=-27/4 \lor x= 13/4

Solve for x: |4x+7|-3=17

The solution is x=-27/4 \lor x= 13/4

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∣ 4 x + 7 ∣ - 3 = 17

x = - \frac{27}{4} or x = \frac{13}{4}

Solution steps

∣ 4 x + 7 ∣ - 3 = 17

Move

3

to the right side

∣ 4 x + 7 ∣ = 20

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 7 = - 20 or 4 x + 7 = 20

4 x + 7 = - 20 or 4 x + 7 = 20

x = - \frac{27}{4} or x = \frac{13}{4}

2 + ∣ - 1 - x ∣ = - 8

8 = 8 ∣ q + 9 ∣

2 + 5 ∣ 8 b + 9 ∣ = 7

7 ∣ 8 - 3 h ∣ = - 21 h + 49

2 + ∣ x - 9 ∣ = 20

What is the answer to |4x+7|-3=17 ?
The answer to |4x+7|-3=17 is x=-27/4 \lor x= 13/4
Solve for x: |4x+7|-3=17
The solution is x=-27/4 \lor x= 13/4