What is the answer to |3x+9|=x+6 ?

The answer to |3x+9|=x+6 is x=-15/4 \lor x=-3/2

Solve for x: |3x+9|=x+6

The solution is x=-15/4 \lor x=-3/2

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∣ 3 x + 9 ∣ = x + 6

x = - \frac{15}{4} or x = - \frac{3}{2}

Decimal Notation

x = - 3.75, x = - 1.5

Solution steps

∣ 3 x + 9 ∣ = x + 6

Find positive and negative intervals

x < - 3, x \geq - 3

Solve the inequality for each interval

x = - \frac{15}{4} or x = - \frac{3}{2}

∣ 3 x + 4 ∣ = x - 3

∣ - 4 x - 8 ∣ + 5 = 9

∣ 3 x + 4 ∣ = x - 8

x^{2} - 5 = 5 x + 5

∣ 2 z - 3 ∣ = - 4 z + 1

What is the answer to |3x+9|=x+6 ?
The answer to |3x+9|=x+6 is x=-15/4 \lor x=-3/2
Solve for x: |3x+9|=x+6
The solution is x=-15/4 \lor x=-3/2