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

Solution for 3(2x-5)-2(x-3)=3(x+1) equation:

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

We simplify the equation to the form, which is simple to understand 
3(2x-5)-2(x-3)=3(x+1)

Reorder the terms in parentheses
+(+6x-15)-2*(x-3)=3*(x+1)

Remove unnecessary parentheses
+6x-15-2+*(+x-3+)=+3+*(+x+1+)

Reorder the terms in parentheses
+6x-15+(-2x+6)=3*(x+1)

Remove unnecessary parentheses
+6x-15-2x+6=+3+*(+x+1+)

Reorder the terms in parentheses
+6x-15-2x+6=+(+3x+3)

Remove unnecessary parentheses
+6x-15-2x+6=+3x+3

We move all terms containing x to the left and all other terms to the right. 
+6x-2x-3x=+3+15-6

We simplify left and right side of the equation. 
+1x=+12

We divide both sides of the equation by 1 to get x. 
x=12