What is the answer to |x-4|+2=3x+2 ?

The answer to |x-4|+2=3x+2 is x=1

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|x-4|+2=3x+2

∣ x - 4 ∣ + 2 = 3 x + 2

x = 1

Solution steps

∣ x - 4 ∣ + 2 = 3 x + 2

Find positive and negative intervals

x < 4, x \geq 4

Solve the inequality for each interval

x = 1 or No Solution

x = 1

\frac{x}{9} > 10

r^{2} - 4 r + 5 = 0

- 2 ∣ x + 1 ∣ + 5 = 1

9^{- 2}

25 x - 4 = 35 x + 2