x= 11/10
2.5x-1=10-7.5x
We move all terms to the left:
2.5x-1-(10-7.5x)=0
We add all the numbers together, and all the variables
2.5x-(-7.5x+10)-1=0
We get rid of parentheses
2.5x+7.5x-10-1=0
We add all the numbers together, and all the variables
10x-11=0
We move all terms containing x to the left, all other terms to the right
10x=11
x=11/10