3(x-5)=2(4-3x)

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Solution for 3(x-5)=2(4-3x) equation: 



3(x-5)=2(4-3x)

We move all terms to the left:

3(x-5)-(2(4-3x))=0

We add all the numbers together, and all the variables

3(x-5)-(2(-3x+4))=0

We multiply parentheses

3x-(2(-3x+4))-15=0



We calculate terms in parentheses: -(2(-3x+4)), so:

2(-3x+4)

We multiply parentheses

-6x+8

Back to the equation:

-(-6x+8)



We get rid of parentheses

3x+6x-8-15=0

We add all the numbers together, and all the variables

9x-23=0

We move all terms containing x to the left, all other terms to the right

9x=23

x=23/9

x=2+5/9

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