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

The answer to |2x+5|-5=7 is x=-17/2 \lor x= 7/2

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

The solution is x=-17/2 \lor x= 7/2

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∣ 2 x + 5 ∣ - 5 = 7

x = - \frac{17}{2} or x = \frac{7}{2}

Solution steps

∣ 2 x + 5 ∣ - 5 = 7

Move

5

to the right side

∣ 2 x + 5 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 5 = - 12 or 2 x + 5 = 12

2 x + 5 = - 12 or 2 x + 5 = 12

x = - \frac{17}{2} or x = \frac{7}{2}

- 2 ∣ 7 - 6 x ∣ + 8 = - 66

∣ 2 x - 7 ∣ + 2 = 7

∣ 2 x - 7 ∣ - 4 = - 3

∣ 3 x + 2 ∣ = x - 1

2 ∣ 2 [3 (x + 1) - 3] ∣ + 1 = 13

What is the answer to |2x+5|-5=7 ?
The answer to |2x+5|-5=7 is x=-17/2 \lor x= 7/2
Solve for x: |2x+5|-5=7
The solution is x=-17/2 \lor x= 7/2