What is the answer to 4|7x+2|-15=7 ?

The answer to 4|7x+2|-15=7 is x=-15/14 \lor x= 1/2

Solve for x: 4|7x+2|-15=7

The solution is x=-15/14 \lor x= 1/2

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4 ∣ 7 x + 2 ∣ - 15 = 7

x = - \frac{15}{14} or x = \frac{1}{2}

Decimal Notation

x = - 1.07142 \dots, x = 0.5

Solution steps

4 ∣ 7 x + 2 ∣ - 15 = 7

Move

15

to the right side

4 ∣ 7 x + 2 ∣ = 22

Divide both sides by

4

∣ 7 x + 2 ∣ = \frac{11}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 x + 2 = - \frac{11}{2} or 7 x + 2 = \frac{11}{2}

7 x + 2 = - \frac{11}{2} or 7 x + 2 = \frac{11}{2}

x = - \frac{15}{14} or x = \frac{1}{2}

9 x^{2} - 9 ∣ x ∣ - 43 = 0

5 ∣ 6 v - 2 ∣ = 5

2 ∣ 2 x + 4 ∣ - 1 = 12 x + 5

4 ∣ x + 6 ∣ = 24

∣ x + 2 ∣ - 4 = 11

What is the answer to 4|7x+2|-15=7 ?
The answer to 4|7x+2|-15=7 is x=-15/14 \lor x= 1/2
Solve for x: 4|7x+2|-15=7
The solution is x=-15/14 \lor x= 1/2