What is the answer to 2|7+5x|+7=41 ?

The answer to 2|7+5x|+7=41 is x=-24/5 \lor x=2

Solve for x: 2|7+5x|+7=41

The solution is x=-24/5 \lor x=2

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2 ∣ 7 + 5 x ∣ + 7 = 41

x = - \frac{24}{5} or x = 2

Decimal Notation

x = - 4.8, x = 2

Solution steps

2 ∣ 7 + 5 x ∣ + 7 = 41

Move

7

to the right side

2 ∣ 7 + 5 x ∣ = 34

Divide both sides by

2

∣ 7 + 5 x ∣ = 17

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 + 5 x = - 17 or 7 + 5 x = 17

7 + 5 x = - 17 or 7 + 5 x = 17

x = - \frac{24}{5} or x = 2

∣ - 12 x - 7 ∣ = 9

∣ x ∣ - 2 = 5

∣ x - 2 ∣ + 5 = 5

2 x + ∣ 3 x - 8 ∣ = - 4

∣ x - 8 ∣ = 12

What is the answer to 2|7+5x|+7=41 ?
The answer to 2|7+5x|+7=41 is x=-24/5 \lor x=2
Solve for x: 2|7+5x|+7=41
The solution is x=-24/5 \lor x=2