What is the answer to |2x+7|-2=10 ?

The answer to |2x+7|-2=10 is x=-19/2 \lor x= 5/2

Solve for x: |2x+7|-2=10

The solution is x=-19/2 \lor x= 5/2

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∣ 2 x + 7 ∣ - 2 = 10

x = - \frac{19}{2} or x = \frac{5}{2}

Decimal Notation

x = - 9.5, x = 2.5

Solution steps

∣ 2 x + 7 ∣ - 2 = 10

Move

2

to the right side

∣ 2 x + 7 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 7 = - 12 or 2 x + 7 = 12

2 x + 7 = - 12 or 2 x + 7 = 12

x = - \frac{19}{2} or x = \frac{5}{2}

7 ∣ 10 + 2 p ∣ - 6 = 92

∣ 4 x + 7 ∣ - 2 = 22

3 ∣ x + 1 ∣ + 5 = - 11

5 ∣ a + 8 ∣ + 5 = 0

∣ 5 - 2 x ∣ - 11 = 0

What is the answer to |2x+7|-2=10 ?
The answer to |2x+7|-2=10 is x=-19/2 \lor x= 5/2
Solve for x: |2x+7|-2=10
The solution is x=-19/2 \lor x= 5/2