What is the answer to 2|8x+5|+10=32 ?

The answer to 2|8x+5|+10=32 is x=-2\lor x= 3/4

Solve for x: 2|8x+5|+10=32

The solution is x=-2\lor x= 3/4

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2 ∣ 8 x + 5 ∣ + 10 = 32

x = - 2 or x = \frac{3}{4}

Decimal Notation

x = - 2, x = 0.75

Solution steps

2 ∣ 8 x + 5 ∣ + 10 = 32

Move

10

to the right side

2 ∣ 8 x + 5 ∣ = 22

Divide both sides by

2

∣ 8 x + 5 ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 x + 5 = - 11 or 8 x + 5 = 11

8 x + 5 = - 11 or 8 x + 5 = 11

x = - 2 or x = \frac{3}{4}

∣ x ∣ - 5 = 0

20 - 4 ∣ a ∣ = 12

∣ 8 - a ∣ = - 2

∣ 7 m ∣ + 2 = 37

3 ∣ x + 2 ∣ = 3 x + 6

What is the answer to 2|8x+5|+10=32 ?
The answer to 2|8x+5|+10=32 is x=-2\lor x= 3/4
Solve for x: 2|8x+5|+10=32
The solution is x=-2\lor x= 3/4