What is the answer to |2x+7|-5=9 ?

The answer to |2x+7|-5=9 is x=-21/2 \lor x= 7/2

Solve for x: |2x+7|-5=9

The solution is x=-21/2 \lor x= 7/2

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∣ 2 x + 7 ∣ - 5 = 9

x = - \frac{21}{2} or x = \frac{7}{2}

Decimal Notation

x = - 10.5, x = 3.5

Solution steps

∣ 2 x + 7 ∣ - 5 = 9

Move

5

to the right side

∣ 2 x + 7 ∣ = 14

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 7 = - 14 or 2 x + 7 = 14

2 x + 7 = - 14 or 2 x + 7 = 14

x = - \frac{21}{2} or x = \frac{7}{2}

∣ 2 x + 7 ∣ - 5 = 5

3 ∣ 3 x + 2 ∣ = 51

∣ 6 x - 6 ∣ = 54

60 = ∣ 300 - 48 x ∣

∣ 4 - 4 n ∣ = 36

What is the answer to |2x+7|-5=9 ?
The answer to |2x+7|-5=9 is x=-21/2 \lor x= 7/2
Solve for x: |2x+7|-5=9
The solution is x=-21/2 \lor x= 7/2