What is the answer to |2x+5|=8 ?

The answer to |2x+5|=8 is x=-13/2 \lor x= 3/2

Solve for x: |2x+5|=8

The solution is x=-13/2 \lor x= 3/2

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∣ 2 x + 5 ∣ = 8

x = - \frac{13}{2} or x = \frac{3}{2}

Decimal Notation

x = - 6.5, x = 1.5

Solution steps

∣ 2 x + 5 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 5 = - 8 or 2 x + 5 = 8

2 x + 5 = - 8 or 2 x + 5 = 8

x = - \frac{13}{2} or x = \frac{3}{2}

(5 + 2) (5 - 2)

lo g_{6} (9) + 2 lo g_{6} (2)

∣ a + 7 ∣ - 2 = 3

x^{4} + 2 x^{3} - 9 x^{2} - 18 x

x^{2} = 28 + 72