What is the answer to |2a+7|=9-4 ?

The answer to |2a+7|=9-4 is a=-6\lor a=-1

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|2a+7|=9-4

∣ 2 a + 7 ∣ = 9 - 4

a = - 6 or a = - 1

Solution steps

∣ 2 a + 7 ∣ = 9 - 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 a + 7 = - (9 - 4) or 2 a + 7 = 9 - 4

2 a + 7 = - (9 - 4) or 2 a + 7 = 9 - 4

a = - 6 or a = - 1

5 ∣ x + 3 ∣ - 2 = 18

∣ x ∣ = x^{2} - x

2 x - 5 = ∣ x + 4 ∣

∣ 4 x + 3 ∣ = 16

\frac{x}{2} + \frac{1}{3} = 4