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

The answer to 2+5|10+5x|=32 is x=-16/5 \lor x=-4/5

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

The solution is x=-16/5 \lor x=-4/5

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2 + 5 ∣ 10 + 5 x ∣ = 32

x = - \frac{16}{5} or x = - \frac{4}{5}

Decimal Notation

x = - 3.2, x = - 0.8

Solution steps

2 + 5 ∣ 10 + 5 x ∣ = 32

Move

2

to the right side

5 ∣ 10 + 5 x ∣ = 30

Divide both sides by

5

∣ 10 + 5 x ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

10 + 5 x = - 6 or 10 + 5 x = 6

10 + 5 x = - 6 or 10 + 5 x = 6

x = - \frac{16}{5} or x = - \frac{4}{5}

∣ w - 9 ∣ = 2

∣ x + 4 ∣ = x + 7

∣ x + 4 ∣ = x + 4

∣ 3 x ∣ = 24

45 = ∣ a + 3 ∣

What is the answer to 2+5|10+5x|=32 ?
The answer to 2+5|10+5x|=32 is x=-16/5 \lor x=-4/5
Solve for x: 2+5|10+5x|=32
The solution is x=-16/5 \lor x=-4/5