What is the answer to 3|2x+5|+10=37 ?

The answer to 3|2x+5|+10=37 is x=-7\lor x=2

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3|2x+5|+10=37

3 ∣ 2 x + 5 ∣ + 10 = 37

x = - 7 or x = 2

Solution steps

3 ∣ 2 x + 5 ∣ + 10 = 37

Move

10

to the right side

3 ∣ 2 x + 5 ∣ = 27

Divide both sides by

3

∣ 2 x + 5 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 5 = - 9 or 2 x + 5 = 9

2 x + 5 = - 9 or 2 x + 5 = 9

x = - 7 or x = 2

∣ 9 - 2 x ∣ + 4 = 13

- 5 ∣ x - 7 ∣ + 2 = - 13

∣ x - 2 ∣ = 4 x + 8

5 + 2 ∣ 2 x + 4 ∣ = 9

∣ - 2 y + 6 ∣ = 6

What is the answer to 3|2x+5|+10=37 ?
The answer to 3|2x+5|+10=37 is x=-7\lor x=2
Solve for x: 3|2x+5|+10=37
The solution is x=-7\lor x=2