What is the answer to |3x+2|=5-x ?

The answer to |3x+2|=5-x is x=-7/2 \lor x= 3/4

Solve for x: |3x+2|=5-x

The solution is x=-7/2 \lor x= 3/4

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∣ 3 x + 2 ∣ = 5 - x

x = - \frac{7}{2} or x = \frac{3}{4}

Solution steps

∣ 3 x + 2 ∣ = 5 - x

Find positive and negative intervals

x < - \frac{2}{3}, x \geq - \frac{2}{3}

Solve the inequality for each interval

x = - \frac{7}{2} or x = \frac{3}{4}

∣ 3 x - 4 ∣ = 3 x + 4

3 ∣ x - 6 ∣ = 10

4 - ∣ x ∣ = 1

∣ n - 4 ∣ = 13

∣ x + 1 ∣ + 2 x = 7

What is the answer to |3x+2|=5-x ?
The answer to |3x+2|=5-x is x=-7/2 \lor x= 3/4
Solve for x: |3x+2|=5-x
The solution is x=-7/2 \lor x= 3/4