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5(2x-9)-7x=6(-3x+4)+5(2x-6)
We move all terms to the left:
5(2x-9)-7x-(6(-3x+4)+5(2x-6))=0
We add all the numbers together, and all the variables
-7x+5(2x-9)-(6(-3x+4)+5(2x-6))=0
We multiply parentheses
-7x+10x-(6(-3x+4)+5(2x-6))-45=0
We calculate terms in parentheses: -(6(-3x+4)+5(2x-6)), so:We add all the numbers together, and all the variables
6(-3x+4)+5(2x-6)
We multiply parentheses
-18x+10x+24-30
We add all the numbers together, and all the variables
-8x-6
Back to the equation:
-(-8x-6)
3x-(-8x-6)-45=0
We get rid of parentheses
3x+8x+6-45=0
We add all the numbers together, and all the variables
11x-39=0
We move all terms containing x to the left, all other terms to the right
11x=39
x=39/11
x=3+6/11
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