3x+2(x-5)+10=2/3(9x-15)+4x

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Solution for 3x+2(x-5)+10=2/3(9x-15)+4x equation:



3x+2(x-5)+10=2/3(9x-15)+4x
We move all terms to the left:
3x+2(x-5)+10-(2/3(9x-15)+4x)=0
Domain of the equation: 3(9x-15)+4x)!=0
x∈R
We multiply parentheses
3x+2x-(2/3(9x-15)+4x)-10+10=0
We multiply all the terms by the denominator
3x*3(9x-15)+4x)+2x*3(9x-15)+4x)-(2-10*3(9x-15)+4x)+10*3(9x-15)+4x)=0
Wy multiply elements
9x^2(9+4x)+2x*3(9x-15)+4x)-(2-10*3(9x-15)+4x)+10*3(9x-15)+4x)=0
We add all the numbers together, and all the variables
9x^2(4x+9)+2x*3(9x-15)+4x)-(2-10*3(9x-15)+4x)+10*3(9x-15)+4x)=0
Wy multiply elements
9x^2(4x+9)+6x^2(9+4x)-(2-30x(9+4x)+10*3(9x-15)+4x)=0
We calculate terms in parentheses: -(2-30x(9+4x)+10*3(9x-15)+4x), so:
2-30x(9+4x)+10*3(9x-15)+4x
determiningTheFunctionDomain -30x(9+4x)+10*3(9x-15)+4x+2
We add all the numbers together, and all the variables
-30x(4x+9)+10*3(9x-15)+4x+2
We add all the numbers together, and all the variables
4x-30x(4x+9)+10*3(9x-15)+2
We multiply parentheses
-120x^2+4x-270x+10*3(9x-15)+2
Wy multiply elements
-120x^2+4x-270x+30x(9+2
We add all the numbers together, and all the variables
-120x^2-266x+30x(9+2
Back to the equation:
-(-120x^2-266x+30x(9+2)
We add all the numbers together, and all the variables
9x^2(4x+9)+6x^2(4x+9)-(-120x^2-266x+30x11=0

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