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3(x+1)=2(4-5x)
We move all terms to the left:
3(x+1)-(2(4-5x))=0
We add all the numbers together, and all the variables
3(x+1)-(2(-5x+4))=0
We multiply parentheses
3x-(2(-5x+4))+3=0
We calculate terms in parentheses: -(2(-5x+4)), so:We get rid of parentheses
2(-5x+4)
We multiply parentheses
-10x+8
Back to the equation:
-(-10x+8)
3x+10x-8+3=0
We add all the numbers together, and all the variables
13x-5=0
We move all terms containing x to the left, all other terms to the right
13x=5
x=5/13
x=5/13
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