What is the answer to |3+7x|+4=22 ?

The answer to |3+7x|+4=22 is x=-3\lor x= 15/7

Solve for x: |3+7x|+4=22

The solution is x=-3\lor x= 15/7

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∣ 3 + 7 x ∣ + 4 = 22

x = - 3 or x = \frac{15}{7}

Decimal Notation

x = - 3, x = 2.14285 \dots

Solution steps

∣ 3 + 7 x ∣ + 4 = 22

Move

4

to the right side

∣ 3 + 7 x ∣ = 18

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 + 7 x = - 18 or 3 + 7 x = 18

3 + 7 x = - 18 or 3 + 7 x = 18

x = - 3 or x = \frac{15}{7}

∣ - 4 x ∣ = 20

∣ 2 x - 1 ∣ = 5 - x

∣ x - 3 ∣ + 4 = 4

x ∣ x ∣ - 2 x + 1 = 4

2 x + 7 = ∣ x + 1 ∣

What is the answer to |3+7x|+4=22 ?
The answer to |3+7x|+4=22 is x=-3\lor x= 15/7
Solve for x: |3+7x|+4=22
The solution is x=-3\lor x= 15/7