What is the answer to |(3x-1)/2 |=|(2x+3)/3 | ?

The answer to |(3x-1)/2 |=|(2x+3)/3 | is x=-3/13 \lor x= 9/5

Solve for x: |(3x-1)/2 |=|(2x+3)/3 |

The solution is x=-3/13 \lor x= 9/5

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

x = - \frac{3}{13} or x = \frac{9}{5}

Decimal Notation

x = - 0.23076 \dots, x = 1.8

Solution steps

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

Find positive and negative intervals

x < - \frac{3}{2}, - \frac{3}{2} \leq x < \frac{1}{3}, x \geq \frac{1}{3}

Solve the inequality for each interval

No Solution or x = - \frac{3}{13} or x = \frac{9}{5}

x = - \frac{3}{13} or x = \frac{9}{5}

54 x^{3} y - 18 x^{2} y^{2} + 27 x y^{2}

\frac{1}{3}

x^{2} + x - 5 \leq x - 1

\frac{1 5 ^{2}}{5}

\frac{- 1}{2} x \leq 17

What is the answer to |(3x-1)/2 |=|(2x+3)/3 | ?
The answer to |(3x-1)/2 |=|(2x+3)/3 | is x=-3/13 \lor x= 9/5
Solve for x: |(3x-1)/2 |=|(2x+3)/3 |
The solution is x=-3/13 \lor x= 9/5