What is the answer to |2x|-5=0 ?

The answer to |2x|-5=0 is x=-5/2 \lor x= 5/2

Solve for x: |2x|-5=0

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

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∣ 2 x ∣ - 5 = 0

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

Decimal

x = - 2.5, x = 2.5

Solution steps

∣ 2 x ∣ - 5 = 0

Move

5

to the right side

∣ 2 x ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x = - 5 or 2 x = 5

2 x = - 5 or 2 x = 5

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

∣ 2 x ∣ - 5 = 7

∣ 5 x - 7 ∣ = 2 x + 5

∣ x ∣^{3} = 2

x, t o ∣ 4 x - 6 ∣ = 5

∣ 4 x - 1 ∣ = 0