What is the answer to |6x+9|=|3x-7| ?

The answer to |6x+9|=|3x-7| is x=-16/3 \lor x=-2/9

Solve for x: |6x+9|=|3x-7|

The solution is x=-16/3 \lor x=-2/9

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∣ 6 x + 9 ∣ = ∣ 3 x - 7 ∣

x = - \frac{16}{3} or x = - \frac{2}{9}

Decimal Notation

x = - 5.33333 \dots, x = - 0.22222 \dots

Solution steps

∣ 6 x + 9 ∣ = ∣ 3 x - 7 ∣

Find positive and negative intervals

x < - \frac{3}{2}, - \frac{3}{2} \leq x < \frac{7}{3}, x \geq \frac{7}{3}

Solve the inequality for each interval

x = - \frac{16}{3} or x = - \frac{2}{9} or No Solution

x = - \frac{16}{3} or x = - \frac{2}{9}

∣ 3 x - 4 ∣ = ∣ x ∣

2 x^{2} + 5 + ∣ 2 x - 6 ∣ = 8

5 - ∣ 2 x + 1 ∣ = 0

∣ x + 1 ∣ + ∣ 2 x + 4 ∣ = 5

[\frac{x}{9}] = - 1, - 5 < x < 0

What is the answer to |6x+9|=|3x-7| ?
The answer to |6x+9|=|3x-7| is x=-16/3 \lor x=-2/9
Solve for x: |6x+9|=|3x-7|
The solution is x=-16/3 \lor x=-2/9