Question

(x + 2) (2x + 4) = (x – 4) (2x - 3) + 53​

Answer 1

Step-by-step explanation:

(x+2)(2x+4)=(x-4)(2x-3)+53

We move all terms to the left:

(x+2)(2x+4)-((x-4)(2x-3)+53)=0

We multiply parentheses ..

(+2x^2+4x+4x+8)-((x-4)(2x-3)+53)=0

We calculate terms in parentheses: -((x-4)(2x-3)+53), so:

(x-4)(2x-3)+53

We multiply parentheses ..

(+2x^2-3x-8x+12)+53

We get rid of parentheses

2x^2-3x-8x+12+53

We add all the numbers together, and all the variables

2x^2-11x+65

Back to the equation:

-(2x^2-11x+65)

We get rid of parentheses

2x^2-2x^2+4x+4x+11x+8-65=0

We add all the numbers together, and all the variables

19x-57=0

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

19x=57

x=57/19

x=3