What is the answer to 2-3|7x+4|=-91 ?

The answer to 2-3|7x+4|=-91 is x=-5\lor x= 27/7

Solve for x: 2-3|7x+4|=-91

The solution is x=-5\lor x= 27/7

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2 - 3 ∣ 7 x + 4 ∣ = - 91

x = - 5 or x = \frac{27}{7}

Decimal Notation

x = - 5, x = 3.85714 \dots

Solution steps

2 - 3 ∣ 7 x + 4 ∣ = - 91

Move

2

to the right side

- 3 ∣ 7 x + 4 ∣ = - 93

Divide both sides by

- 3

∣ 7 x + 4 ∣ = 31

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 x + 4 = - 31 or 7 x + 4 = 31

7 x + 4 = - 31 or 7 x + 4 = 31

x = - 5 or x = \frac{27}{7}

x, y = ∣ 2 - x ∣

2 - \frac{1}{3} y = 9

2 ∣ x + 4 ∣ = 14

- ∣ - a ∣ = 11

∣ 0.4 + m ∣ = 110.25

What is the answer to 2-3|7x+4|=-91 ?
The answer to 2-3|7x+4|=-91 is x=-5\lor x= 27/7
Solve for x: 2-3|7x+4|=-91
The solution is x=-5\lor x= 27/7