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

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

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

The solution is x= 1/5 \lor x=1

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∣ 3 x + 1 ∣ = ∣ 7 x - 3 ∣

x = \frac{1}{5} or x = 1

Solution steps

∣ 3 x + 1 ∣ = ∣ 7 x - 3 ∣

Find positive and negative intervals

x < - \frac{1}{3}, - \frac{1}{3} \leq x < \frac{3}{7}, x \geq \frac{3}{7}

Solve the inequality for each interval

No Solution or x = \frac{1}{5} or x = 1

x = \frac{1}{5} or x = 1

∣ x - 3 ∣ + ∣ 7 + x ∣ - ∣ 1 - 3 x ∣ = 15

x^{2} + x = x^{2} + x

∣ x - 1 ∣ - ∣ x - 2 ∣ = 1

x^{3} + 1 + x^{2} - x - 2 = 0

∣ x + 1 ∣ + ∣ x - 1 ∣ = 3

What is the answer to |3x+1|=|7x-3| ?
The answer to |3x+1|=|7x-3| is x= 1/5 \lor x=1
Solve for x: |3x+1|=|7x-3|
The solution is x= 1/5 \lor x=1