What is the answer to |4x-21|-7=13 ?

The answer to |4x-21|-7=13 is x= 1/4 \lor x= 41/4

Solve for x: |4x-21|-7=13

The solution is x= 1/4 \lor x= 41/4

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∣ 4 x - 21 ∣ - 7 = 13

x = \frac{1}{4} or x = \frac{41}{4}

Solution steps

∣ 4 x - 21 ∣ - 7 = 13

Move

7

to the right side

∣ 4 x - 21 ∣ = 20

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 21 = - 20 or 4 x - 21 = 20

4 x - 21 = - 20 or 4 x - 21 = 20

x = \frac{1}{4} or x = \frac{41}{4}

∣ 2 x + 1 ∣ = 3 x + 4

x^{2} - 3 x - 1 = 3

∣ x + 1 ∣ = 3 x - 9

∣ x + 5 ∣ + 7 = 6

8 + 3 ∣ 4 x + 10 ∣ = 29

What is the answer to |4x-21|-7=13 ?
The answer to |4x-21|-7=13 is x= 1/4 \lor x= 41/4
Solve for x: |4x-21|-7=13
The solution is x= 1/4 \lor x= 41/4