What is the answer to 5x-31=|x-3| ?

The answer to 5x-31=|x-3| is x=7

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5x-31=|x-3|

5 x - 31 = ∣ x - 3 ∣

x = 7

Solution steps

5 x - 31 = ∣ x - 3 ∣

Find positive and negative intervals

x < 3, x \geq 3

Solve the inequality for each interval

No Solution or x = 7

x = 7

∣ x + 2 ∣ = \frac{4}{3}

6 - ∣ x - 4 ∣ = 3

∣ 3 x + 2 ∣ = - 3 x

5 - ∣ x - 3 ∣ = 6 - ∣ x - 10 ∣

∣ - 6 x - 5 ∣ = 41