What is the answer to |4x+7|-3=21 ?

The answer to |4x+7|-3=21 is x=-31/4 \lor x= 17/4

Solve for x: |4x+7|-3=21

The solution is x=-31/4 \lor x= 17/4

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∣ 4 x + 7 ∣ - 3 = 21

x = - \frac{31}{4} or x = \frac{17}{4}

Decimal Notation

x = - 7.75, x = 4.25

Solution steps

∣ 4 x + 7 ∣ - 3 = 21

Move

3

to the right side

∣ 4 x + 7 ∣ = 24

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - \frac{31}{4} or x = \frac{17}{4}

∣ 3 x - 1 ∣ = x

∣ x + 2 ∣ - 7 = 1

x^{2} + 10 x + 16 = x^{2} - 16

∣ x + 5 ∣ + ∣ 3 - x ∣ = 15

x^{2} - 5 x + 6 + x^{2} - x - 2 = 4 ∣ 2 - x ∣

What is the answer to |4x+7|-3=21 ?
The answer to |4x+7|-3=21 is x=-31/4 \lor x= 17/4
Solve for x: |4x+7|-3=21
The solution is x=-31/4 \lor x= 17/4