5(0.5x-4)=2x-0.5(10-x)

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Solution for 5(0.5x-4)=2x-0.5(10-x) equation:



5(0.5x-4)=2x-0.5(10-x)
We move all terms to the left:
5(0.5x-4)-(2x-0.5(10-x))=0
We add all the numbers together, and all the variables
5(0.5x-4)-(2x-0.5(-1x+10))=0
We multiply parentheses
0x-(2x-0.5(-1x+10))-20=0
We calculate terms in parentheses: -(2x-0.5(-1x+10)), so:
2x-0.5(-1x+10)
We multiply parentheses
2x+0.5x-5
We add all the numbers together, and all the variables
2.5x-5
Back to the equation:
-(2.5x-5)
We add all the numbers together, and all the variables
x-(2.5x-5)-20=0
We get rid of parentheses
x-2.5x+5-20=0
We add all the numbers together, and all the variables
-1.5x-15=0
We move all terms containing x to the left, all other terms to the right
-1.5x=15
x=15/-1.5
x=-10

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