What is the answer to |2x+7|-3=7 ?

The answer to |2x+7|-3=7 is x=-17/2 \lor x= 3/2

Solve for x: |2x+7|-3=7

The solution is x=-17/2 \lor x= 3/2

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∣ 2 x + 7 ∣ - 3 = 7

x = - \frac{17}{2} or x = \frac{3}{2}

Decimal

x = - 8.5, x = 1.5

Solution steps

∣ 2 x + 7 ∣ - 3 = 7

Move

3

to the right side

∣ 2 x + 7 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 7 = - 10 or 2 x + 7 = 10

2 x + 7 = - 10 or 2 x + 7 = 10

x = - \frac{17}{2} or x = \frac{3}{2}

∣ 4 x + 3 ∣ = - 3 x + 7

∣ x - 10 ∣ - 11 = - 11

∣ 4 x - 8 ∣ = 4

- 5 ∣ 8 x + 5 ∣ = - 95

∣ 2 x + 2 ∣ - 2 = 10

What is the answer to |2x+7|-3=7 ?
The answer to |2x+7|-3=7 is x=-17/2 \lor x= 3/2
Solve for x: |2x+7|-3=7
The solution is x=-17/2 \lor x= 3/2