What is the answer to |2x-3|=4 ?

The answer to |2x-3|=4 is x=-1/2 \lor x= 7/2

Solve for x: |2x-3|=4

The solution is x=-1/2 \lor x= 7/2

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∣ 2 x - 3 ∣ = 4

x = - \frac{1}{2} or x = \frac{7}{2}

Decimal Notation

x = - 0.5, x = 3.5

Solution steps

∣ 2 x - 3 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 3 = - 4 or 2 x - 3 = 4

2 x - 3 = - 4 or 2 x - 3 = 4

x = - \frac{1}{2} or x = \frac{7}{2}

\frac{5 3}{2}

2028

(11)^{2}

3 x + 10 = 6 x - 10

15 x + 2 = 10 x + 7