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0.4(5x-12)+0.5x=15.1
We move all terms to the left:
0.4(5x-12)+0.5x-(15.1)=0
We add all the numbers together, and all the variables
0.5x+0.4(5x-12)-15.1=0
We multiply parentheses
0.5x+2x-4.8-15.1=0
We add all the numbers together, and all the variables
2.5x-19.9=0
We move all terms containing x to the left, all other terms to the right
2.5x=19.9
x=19.9/2.5
x=7+1/1.0416666666667
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