What is the answer to 7/2 |x+3|=7 ?

The answer to 7/2 |x+3|=7 is x=-5\lor x=-1

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7/2 |x+3|=7

\frac{7}{2} ∣ x + 3 ∣ = 7

x = - 5 or x = - 1

Solution steps

\frac{7}{2} ∣ x + 3 ∣ = 7

Multiply both sides by

2

7 ∣ x + 3 ∣ = 14

Divide both sides by

7

∣ x + 3 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 3 = - 2 or x + 3 = 2

x + 3 = - 2 or x + 3 = 2

x = - 5 or x = - 1

x + ∣ x - 5 ∣ = 8

∣ 2 x + 5 ∣ - 5 = 9

∣ 3 x + 2 ∣ = x - 4

∣ 8 - 3 z ∣ = \frac{9}{2}

∣ 3 z ∣ = 0