What is the answer to |4-3x|=5x+4 ?

The answer to |4-3x|=5x+4 is x=0

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|4-3x|=5x+4

∣ 4 - 3 x ∣ = 5 x + 4

x = 0

Solution steps

∣ 4 - 3 x ∣ = 5 x + 4

Find positive and negative intervals

x \leq \frac{4}{3}, x > \frac{4}{3}

Solve the inequality for each interval

x = 0 or No Solution

x = 0

∣ x + 4 ∣ = 2 x + 11

∣ 3 x + 5 ∣ = 2 x + 6

∣ 3 x - 4 ∣ = x + 5

2 ∣ x - 7 ∣ = x - 8

∣ w + 1 ∣ = 5