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

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

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

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

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∣ 3 x + 1 ∣ = 7 - x

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

Decimal Notation

x = - 4, x = 1.5

Solution steps

∣ 3 x + 1 ∣ = 7 - x

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}

∣ x - 3 ∣ = 3 - x

∣ 8 - 5 x ∣ = 8

∣ 3 b + 9 ∣ - 16 = - 52

3 ∣ y + 6 ∣ = 30

2 ∣ x + 5 ∣ = 2