What is the answer to 10|4+7x|-6=94 ?

The answer to 10|4+7x|-6=94 is x=-2\lor x= 6/7

Solve for x: 10|4+7x|-6=94

The solution is x=-2\lor x= 6/7

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10 ∣ 4 + 7 x ∣ - 6 = 94

x = - 2 or x = \frac{6}{7}

Decimal Notation

x = - 2, x = 0.85714 \dots

Solution steps

10 ∣ 4 + 7 x ∣ - 6 = 94

Move

6

to the right side

10 ∣ 4 + 7 x ∣ = 100

Divide both sides by

10

∣ 4 + 7 x ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 + 7 x = - 10 or 4 + 7 x = 10

4 + 7 x = - 10 or 4 + 7 x = 10

x = - 2 or x = \frac{6}{7}

5 ∣ x - 4 ∣ - 10 = 0

15 = 5 ∣ g ∣

∣ 2 x ∣ = x^{2} - 3 x - 6

∣ k ∣ - 7 = 0

∣ 2 w - 11 ∣ = 3

What is the answer to 10|4+7x|-6=94 ?
The answer to 10|4+7x|-6=94 is x=-2\lor x= 6/7
Solve for x: 10|4+7x|-6=94
The solution is x=-2\lor x= 6/7