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5(x+9)=2(12x+13)
We move all terms to the left:
5(x+9)-(2(12x+13))=0
We multiply parentheses
5x-(2(12x+13))+45=0
We calculate terms in parentheses: -(2(12x+13)), so:We get rid of parentheses
2(12x+13)
We multiply parentheses
24x+26
Back to the equation:
-(24x+26)
5x-24x-26+45=0
We add all the numbers together, and all the variables
-19x+19=0
We move all terms containing x to the left, all other terms to the right
-19x=-19
x=-19/-19
x=1
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