(x+5)*(37-x+8)=x*(37-x)+300

Solution for (x+5)*(37-x+8)=x*(37-x)+300 equation:

(x+5)(37-x+8)=x(37-x)+300

We move all terms to the left:

(x+5)(37-x+8)-(x(37-x)+300)=0

We add all the numbers together, and all the variables

(x+5)(-1x+45)-(x(-1x+37)+300)=0

We multiply parentheses ..

(-1x^2+45x-5x+225)-(x(-1x+37)+300)=0


We calculate terms in parentheses: -(x(-1x+37)+300), so:

x(-1x+37)+300

We multiply parentheses

-1x^2+37x+300

Back to the equation:

-(-1x^2+37x+300)


We get rid of parentheses

-1x^2+1x^2+45x-5x-37x+225-300=0

We add all the numbers together, and all the variables

3x-75=0

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

3x=75

x=75/3

x=25