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

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

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

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

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∣ 3 x + 1 ∣ + x = 7

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

Decimal Notation

x = - 4, x = 1.5

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

- 4 \cdot ∣ x + 2 ∣ = x - 8

∣ - 2 y + 1 ∣ + 6 = 4

5 ∣ q + 6 ∣ + 4 = 24

∣ 3 x + 5 ∣ = - 1

\frac{∣ r - 7 ∣}{3} = 2