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

The answer to |3x-7|=x+1 is x= 3/2 \lor x=4

Solve for x: |3x-7|=x+1

The solution is x= 3/2 \lor x=4

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∣ 3 x - 7 ∣ = x + 1

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

Solution steps

∣ 3 x - 7 ∣ = x + 1

Find positive and negative intervals

x < \frac{7}{3}, x \geq \frac{7}{3}

Solve the inequality for each interval

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

30 - 9

x^{3} - 5 x^{2} + 2 x + 8 > 0

4 = \frac{1}{3} (4 x + 9)

\frac{x}{2} = 2 + \frac{x - 25}{5}

x^{2} + 4 x + 5 = - 6 x + 5