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+274x+30x(9+2

Back to the equation:

-(120x^2+274x+30x(9+2)



We add all the numbers together, and all the variables

9x^2(4x+9)+6x^2(4x+9)-(120x^2+274x+30x11=0

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