12(x-2)+3x=0.5(x+6)+2

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Solution for 12(x-2)+3x=0.5(x+6)+2 equation:



12(x-2)+3x=0.5(x+6)+2
We move all terms to the left:
12(x-2)+3x-(0.5(x+6)+2)=0
We add all the numbers together, and all the variables
3x+12(x-2)-(0.5(x+6)+2)=0
We multiply parentheses
3x+12x-(0.5(x+6)+2)-24=0
We calculate terms in parentheses: -(0.5(x+6)+2), so:
0.5(x+6)+2
We multiply parentheses
0.5x+3+2
We add all the numbers together, and all the variables
0.5x+5
Back to the equation:
-(0.5x+5)
We add all the numbers together, and all the variables
15x-(0.5x+5)-24=0
We get rid of parentheses
15x-0.5x-5-24=0
We add all the numbers together, and all the variables
14.5x-29=0
We move all terms containing x to the left, all other terms to the right
14.5x=29
x=29/14.5
x=2

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