What is the answer to |5x-7|+1=3x ?

The answer to |5x-7|+1=3x is x=1\lor x=3

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|5x-7|+1=3x

∣ 5 x - 7 ∣ + 1 = 3 x

x = 1 or x = 3

Solution steps

∣ 5 x - 7 ∣ + 1 = 3 x

Find positive and negative intervals

x < \frac{7}{5}, x \geq \frac{7}{5}

Solve the inequality for each interval

x = 1 or x = 3

∣ 2 x + 5 ∣ - 10 = 3 x

3 ∣ x + 4 ∣ = 6 x + 33

\frac{q}{5} = 3

1 + ∣ 5 - 5 x ∣ = - 44 - 1

- 2 ∣ 3 x - 1 ∣ + 6 = 2