What is the answer to 1-3-7|7x+3|=-31 ?

The answer to 1-3-7|7x+3|=-31 is x=-50/49 \lor x= 8/49

Solve for x: 1-3-7|7x+3|=-31

The solution is x=-50/49 \lor x= 8/49

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1 - 3 - 7 ∣ 7 x + 3 ∣ = - 31

x = - \frac{50}{49} or x = \frac{8}{49}

Decimal Notation

x = - 1.02040 \dots, x = 0.16326 \dots

Solution steps

1 - 3 - 7 ∣ 7 x + 3 ∣ = - 31

Subtract the numbers:

1 - 3 = - 2

- 7 ∣ 7 x + 3 ∣ - 2 = - 31

Move

2

to the right side

- 7 ∣ 7 x + 3 ∣ = - 29

Divide both sides by

- 7

∣ 7 x + 3 ∣ = \frac{29}{7}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 x + 3 = - \frac{29}{7} or 7 x + 3 = \frac{29}{7}

7 x + 3 = - \frac{29}{7} or 7 x + 3 = \frac{29}{7}

x = - \frac{50}{49} or x = \frac{8}{49}

4 - ∣ 2 x - 1 ∣ = - 3

∣ - 4 x + 2 ∣ + 6 = 24

∣ - 4 x + 7 ∣ - 20 = 15

4 + 3 ∣ - 5 - 2 v ∣ = 37

- ∣ 8 m - 1 ∣ + 9 = 2

What is the answer to 1-3-7|7x+3|=-31 ?
The answer to 1-3-7|7x+3|=-31 is x=-50/49 \lor x= 8/49
Solve for x: 1-3-7|7x+3|=-31
The solution is x=-50/49 \lor x= 8/49