2(12-k)-(k-3)=8(2-3k)-3(5-6k)

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Solution for 2(12-k)-(k-3)=8(2-3k)-3(5-6k) equation:



2(12-k)-(k-3)=8(2-3k)-3(5-6k)
We move all terms to the left:
2(12-k)-(k-3)-(8(2-3k)-3(5-6k))=0
We add all the numbers together, and all the variables
2(-1k+12)-(k-3)-(8(-3k+2)-3(-6k+5))=0
We multiply parentheses
-2k-(k-3)-(8(-3k+2)-3(-6k+5))+24=0
We get rid of parentheses
-2k-k-(8(-3k+2)-3(-6k+5))+3+24=0
We calculate terms in parentheses: -(8(-3k+2)-3(-6k+5)), so:
8(-3k+2)-3(-6k+5)
We multiply parentheses
-24k+18k+16-15
We add all the numbers together, and all the variables
-6k+1
Back to the equation:
-(-6k+1)
We add all the numbers together, and all the variables
-3k-(-6k+1)+27=0
We get rid of parentheses
-3k+6k-1+27=0
We add all the numbers together, and all the variables
3k+26=0
We move all terms containing k to the left, all other terms to the right
3k=-26
k=-26/3
k=-8+2/3

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