2x(5+3x)-(6x-1)(x+4)=8x-6

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Solution for 2x(5+3x)-(6x-1)(x+4)=8x-6 equation: 



2x(5+3x)-(6x-1)(x+4)=8x-6

We move all terms to the left:

2x(5+3x)-(6x-1)(x+4)-(8x-6)=0

We add all the numbers together, and all the variables

2x(3x+5)-(6x-1)(x+4)-(8x-6)=0

We multiply parentheses

6x^2+10x-(6x-1)(x+4)-(8x-6)=0

We get rid of parentheses

6x^2+10x-(6x-1)(x+4)-8x+6=0

We multiply parentheses ..

6x^2-(+6x^2+24x-1x-4)+10x-8x+6=0

We add all the numbers together, and all the variables

6x^2-(+6x^2+24x-1x-4)+2x+6=0

We get rid of parentheses

6x^2-6x^2-24x+1x+2x+4+6=0

We add all the numbers together, and all the variables

-21x+10=0

We move all terms containing x to the left, all other terms to the right

-21x=-10

x=-10/-21

x=10/21

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