3x+2(x-5)+10=2/3(8x-15)+4x

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Solution for 3x+2(x-5)+10=2/3(8x-15)+4x equation: 



3x+2(x-5)+10=2/3(8x-15)+4x

We move all terms to the left:

3x+2(x-5)+10-(2/3(8x-15)+4x)=0



Domain of the equation: 3(8x-15)+4x)!=0

x∈R



We multiply parentheses

3x+2x-(2/3(8x-15)+4x)-10+10=0

We multiply all the terms by the denominator


3x*3(8x-15)+4x)+2x*3(8x-15)+4x)-(2-10*3(8x-15)+4x)+10*3(8x-15)+4x)=0

Wy multiply elements

9x^2(8+4x)+2x*3(8x-15)+4x)-(2-10*3(8x-15)+4x)+10*3(8x-15)+4x)=0

We add all the numbers together, and all the variables

9x^2(4x+8)+2x*3(8x-15)+4x)-(2-10*3(8x-15)+4x)+10*3(8x-15)+4x)=0

Wy multiply elements

9x^2(4x+8)+6x^2(8+4x)-(2-30x(8+4x)+10*3(8x-15)+4x)=0



We calculate terms in parentheses: -(2-30x(8+4x)+10*3(8x-15)+4x), so:

2-30x(8+4x)+10*3(8x-15)+4x

determiningTheFunctionDomain
-30x(8+4x)+10*3(8x-15)+4x+2

We add all the numbers together, and all the variables

-30x(4x+8)+10*3(8x-15)+4x+2

We add all the numbers together, and all the variables

4x-30x(4x+8)+10*3(8x-15)+2

We multiply parentheses

-120x^2+4x-240x+10*3(8x-15)+2

Wy multiply elements

-120x^2+4x-240x+30x(8+2

We add all the numbers together, and all the variables

-120x^2-236x+30x(8+2

Back to the equation:

-(-120x^2-236x+30x(8+2)



We add all the numbers together, and all the variables

9x^2(4x+8)+6x^2(4x+8)-(-120x^2-236x+30x10=0

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