6(7-x)=10(x+3)-24

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Solution for 6(7-x)=10(x+3)-24 equation:



6(7-x)=10(x+3)-24
We move all terms to the left:
6(7-x)-(10(x+3)-24)=0
We add all the numbers together, and all the variables
6(-1x+7)-(10(x+3)-24)=0
We multiply parentheses
-6x-(10(x+3)-24)+42=0
We calculate terms in parentheses: -(10(x+3)-24), so:
10(x+3)-24
We multiply parentheses
10x+30-24
We add all the numbers together, and all the variables
10x+6
Back to the equation:
-(10x+6)
We get rid of parentheses
-6x-10x-6+42=0
We add all the numbers together, and all the variables
-16x+36=0
We move all terms containing x to the left, all other terms to the right
-16x=-36
x=-36/-16
x=2+1/4

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