What is the answer to 5x+24=|8-3x| ?

The answer to 5x+24=|8-3x| is x=-2

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5x+24=|8-3x|

5 x + 24 = ∣ 8 - 3 x ∣

x = - 2

Solution steps

5 x + 24 = ∣ 8 - 3 x ∣

Find positive and negative intervals

x \leq \frac{8}{3}, x > \frac{8}{3}

Solve the inequality for each interval

x = - 2 or No Solution

x = - 2

∣ - 3 x + 5 ∣ = 11

3 ∣ x ∣ - 2 x = 35

∣ 4 x + 2 ∣ = 19

∣ 2 x + 3 ∣ - 5 = 10

∣ 4 x + 2 ∣ = - 6