What is the answer to |2x+5|-23=-23 ?

The answer to |2x+5|-23=-23 is x=-5/2

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|2x+5|-23=-23

∣ 2 x + 5 ∣ - 23 = - 23

x = - \frac{5}{2}

Solution steps

∣ 2 x + 5 ∣ - 23 = - 23

Add

23

to both sides

∣ 2 x + 5 ∣ - 23 + 23 = - 23 + 23

Simplify

∣ 2 x + 5 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

2 x + 5 = 0

2 x + 5 = 0 : x = - \frac{5}{2}

x = - \frac{5}{2}

∣ 4 - 3 x ∣ = 5

∣ 2 x - 6 ∣ = 1

x^{2} + ∣ x - 2 ∣ = 0

∣ 9 q + 3 ∣ = \frac{2}{5}

p^{0.1} = ∣ p + 4 ∣