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0.50x+0.30(100-x)=40
We move all terms to the left:
0.50x+0.30(100-x)-(40)=0
We add all the numbers together, and all the variables
0.50x+0.30(-1x+100)-40=0
We multiply parentheses
0.50x-0.3x+30-40=0
We add all the numbers together, and all the variables
0.2x-10=0
We move all terms containing x to the left, all other terms to the right
0.2x=10
x=10/0.2
x=50
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