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4 years ago

Solvethe equation 3(x-5)/2=2(x+5)/3

2 answers:

6 0

3(x−5)/2=2(x+5)/3

Cross-multiply.

(3(x−5))/2=(2(x+5))/3

3(x−5)*(3)=2(x+5)*(2)

9x−45=4x+20

Subtract 4x from both sides.

9x−45−4x=4x+20−4x

5x−45=20

Add 45 to both sides.

5x−45+45=20+45

5x=65

Divide both sides by 5.

5x/5=65/5

x=13

pickupchik [31]4 years ago

4 0

$\dfrac{3(x-5)}{2}=\dfrac{2(x+5)}{3}\\
2\cdot2(x+5)=3\cdot3(x-5)\\
4x+20=9x-45\\
9x-4x=20+45\\
5x=65\\
x=13$

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4 years ago