7(x+1)+2(x+3)=4(6-3x)-5(4x+2)

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Solution for 7(x+1)+2(x+3)=4(6-3x)-5(4x+2) equation:



7(x+1)+2(x+3)=4(6-3x)-5(4x+2)
We move all terms to the left:
7(x+1)+2(x+3)-(4(6-3x)-5(4x+2))=0
We add all the numbers together, and all the variables
7(x+1)+2(x+3)-(4(-3x+6)-5(4x+2))=0
We multiply parentheses
7x+2x-(4(-3x+6)-5(4x+2))+7+6=0
We calculate terms in parentheses: -(4(-3x+6)-5(4x+2)), so:
4(-3x+6)-5(4x+2)
We multiply parentheses
-12x-20x+24-10
We add all the numbers together, and all the variables
-32x+14
Back to the equation:
-(-32x+14)
We add all the numbers together, and all the variables
9x-(-32x+14)+13=0
We get rid of parentheses
9x+32x-14+13=0
We add all the numbers together, and all the variables
41x-1=0
We move all terms containing x to the left, all other terms to the right
41x=1
x=1/41
x=1/41

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