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

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

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

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

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∣ 3 x - 1 ∣ = x + 7

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

Decimal

x = - 1.5, x = 4

Solution steps

∣ 3 x - 1 ∣ = x + 7

Find positive and negative intervals

x < \frac{1}{3}, x \geq \frac{1}{3}

Solve the inequality for each interval

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

∣ 1 - 2 x ∣ = ∣ 3 - x ∣

3 ∣ v - 3 ∣ = 9

∣ x + 4 ∣ = 3 ∣ x - 6 ∣

∣ 10 z ∣ = 0

y, 4 = ∣ y ∣ + x^{2}