What is the answer to |9+4x|=5x+18 ?

The answer to |9+4x|=5x+18 is x=-3

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|9+4x|=5x+18

∣ 9 + 4 x ∣ = 5 x + 18

x = - 3

Solution steps

∣ 9 + 4 x ∣ = 5 x + 18

Find positive and negative intervals

x < - \frac{9}{4}, x \geq - \frac{9}{4}

Solve the inequality for each interval

x = - 3 or No Solution

x = - 3

8 - 3 ∣ x + 3 ∣ = 1

∣ - 6 x + 5 ∣ = 8

∣ 4 x - 4 ∣ = 12

\frac{x}{4} = 2

\frac{- 4 - 3 x}{4} = 2