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

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



7(x+1)+3(3-x)=5(x-1)-3(2x+1)
We move all terms to the left:
7(x+1)+3(3-x)-(5(x-1)-3(2x+1))=0
We add all the numbers together, and all the variables
7(x+1)+3(-1x+3)-(5(x-1)-3(2x+1))=0
We multiply parentheses
7x-3x-(5(x-1)-3(2x+1))+7+9=0
We calculate terms in parentheses: -(5(x-1)-3(2x+1)), so:
5(x-1)-3(2x+1)
We multiply parentheses
5x-6x-5-3
We add all the numbers together, and all the variables
-1x-8
Back to the equation:
-(-1x-8)
We add all the numbers together, and all the variables
4x-(-1x-8)+16=0
We get rid of parentheses
4x+1x+8+16=0
We add all the numbers together, and all the variables
5x+24=0
We move all terms containing x to the left, all other terms to the right
5x=-24
x=-24/5
x=-4+4/5

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