6(0.5x-4)=2x-0.75(24-8x)

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Solution for 6(0.5x-4)=2x-0.75(24-8x) equation:



6(0.5x-4)=2x-0.75(24-8x)
We move all terms to the left:
6(0.5x-4)-(2x-0.75(24-8x))=0
We add all the numbers together, and all the variables
6(0.5x-4)-(2x-0.75(-8x+24))=0
We multiply parentheses
0x-(2x-0.75(-8x+24))-24=0
We calculate terms in parentheses: -(2x-0.75(-8x+24)), so:
2x-0.75(-8x+24)
We multiply parentheses
2x+6x-18
We add all the numbers together, and all the variables
8x-18
Back to the equation:
-(8x-18)
We add all the numbers together, and all the variables
x-(8x-18)-24=0
We get rid of parentheses
x-8x+18-24=0
We add all the numbers together, and all the variables
-7x-6=0
We move all terms containing x to the left, all other terms to the right
-7x=6
x=6/-7
x=-6/7

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