What is the answer to |2x+5|-3=7 ?

The answer to |2x+5|-3=7 is x=-15/2 \lor x= 5/2

Solve for x: |2x+5|-3=7

The solution is x=-15/2 \lor x= 5/2

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∣ 2 x + 5 ∣ - 3 = 7

x = - \frac{15}{2} or x = \frac{5}{2}

Decimal Notation

x = - 7.5, x = 2.5

Solution steps

∣ 2 x + 5 ∣ - 3 = 7

Move

3

to the right side

∣ 2 x + 5 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 5 = - 10 or 2 x + 5 = 10

2 x + 5 = - 10 or 2 x + 5 = 10

x = - \frac{15}{2} or x = \frac{5}{2}

∣ 2 x + 1 ∣ = \frac{3}{4}

∣ x - 2 ∣ = 21

3 x - 2 = ∣ x - 2 ∣

∣ 2 x + 3 ∣ = 6 x - 9

∣ x + 3 ∣ = 5 + x

What is the answer to |2x+5|-3=7 ?
The answer to |2x+5|-3=7 is x=-15/2 \lor x= 5/2
Solve for x: |2x+5|-3=7
The solution is x=-15/2 \lor x= 5/2