What is the answer to |(3x+2)/2 |=|(2x-3)/3 | ?

The answer to |(3x+2)/2 |=|(2x-3)/3 | is x=-12/5 \lor x=0

Solve for x: |(3x+2)/2 |=|(2x-3)/3 |

The solution is x=-12/5 \lor x=0

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\frac{3 x + 2}{2} = \frac{2 x - 3}{3}

x = - \frac{12}{5} or x = 0

Decimal Notation

x = - 2.4, x = 0

Solution steps

\frac{3 x + 2}{2} = \frac{2 x - 3}{3}

Find positive and negative intervals

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

Solve the inequality for each interval

x = - \frac{12}{5} or x = 0 or No Solution

x = - \frac{12}{5} or x = 0

\frac{2}{3} x - 3 = \frac{1}{2} x - 1

\frac{15 - 11 x}{x ^{2} - 6 x + 9} \leq 1

n^{2} - 9 n + 8 = 0

18 \cdot \frac{2}{3}

2 x^{2} - 7 x + 3 = 0

What is the answer to |(3x+2)/2 |=|(2x-3)/3 | ?
The answer to |(3x+2)/2 |=|(2x-3)/3 | is x=-12/5 \lor x=0
Solve for x: |(3x+2)/2 |=|(2x-3)/3 |
The solution is x=-12/5 \lor x=0