What is the answer to |2x-3|-5=13 ?

The answer to |2x-3|-5=13 is x=-15/2 \lor x= 21/2

Solve for x: |2x-3|-5=13

The solution is x=-15/2 \lor x= 21/2

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∣ 2 x - 3 ∣ - 5 = 13

x = - \frac{15}{2} or x = \frac{21}{2}

Decimal Notation

x = - 7.5, x = 10.5

Solution steps

∣ 2 x - 3 ∣ - 5 = 13

Move

5

to the right side

∣ 2 x - 3 ∣ = 18

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 3 = - 18 or 2 x - 3 = 18

2 x - 3 = - 18 or 2 x - 3 = 18

x = - \frac{15}{2} or x = \frac{21}{2}

∣ u ∣ = 2

10 ∣ - 4 x + 10 ∣ = 60

6 ∣ 2 - 9 x ∣ = 18

∣ 3 x - 7 ∣ = 0

∣ x - 1 ∣ - 1.4 = 6.2

What is the answer to |2x-3|-5=13 ?
The answer to |2x-3|-5=13 is x=-15/2 \lor x= 21/2
Solve for x: |2x-3|-5=13
The solution is x=-15/2 \lor x= 21/2