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

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

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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

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


We calculate terms in parentheses: -(3(-2x+5)), so:

3(-2x+5)

We multiply parentheses

-6x+15

Back to the equation:

-(-6x+15)


We get rid of parentheses

2x+6x-15-4=0

We add all the numbers together, and all the variables

8x-19=0

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

8x=19

x=19/8

x=2+3/8