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

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

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

We move all terms to the left:

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

We add all the numbers together, and all the variables

2(x-5)-(3(-1x+4))=0

We multiply parentheses

2x-(3(-1x+4))-10=0


We calculate terms in parentheses: -(3(-1x+4)), so:

3(-1x+4)

We multiply parentheses

-3x+12

Back to the equation:

-(-3x+12)


We get rid of parentheses

2x+3x-12-10=0

We add all the numbers together, and all the variables

5x-22=0

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

5x=22

x=22/5

x=4+2/5