Determine which equation below has a solution of x = 2. A. 5x + 8 – 12x = -6x + 2x - 3
B. 6x + 4 – 12x = -10x + 18x - 3
C. 48-6 +x= -2x + x - 10
D. -3x - 8 + x = -4x + x - 10

I am not sure, I might have did my math wrong. But..

Step-by-step explanation:

5(2)+8-12(2) = -6(2)-3

10+8-12=-12-3

6=-15

6(2)+4-12(2)=-10(2)+18(2)-3

12+4-24=-20+36-3

-8=13

48-6+2=-2(2)+2-10

44=-4+2-10

44=-12

-3(2)-8+2=-4(2)+2-10

-6-8+2=-8+2-10

-14+2=-6-10

-12=-16

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.

2

step-by-step explanation: