Zahra wants the equation below to have an infinite number of solutions when the missing number is placed in the box.

Box (x minus 3) + 2 x = negative (x minus 5) + 4

c has to equal - 3

Step-by-step explanation:

I took the test and then checked for the correct answers.

c = - 3

Step-by-step explanation:

Call the unknown c

c (x-3) + 2x = - (x-5) + 4

Distribute the negative sign

c (x-3) + 2x = - x+5+4

Combine like terms

c (x-3) + 2x = - x + 9

Subtract 2x from each side

c (x-3) + 2x-2x = - x-2x + 9

c (x-3) = - 3x+9

Factor a - 3 from the right side

c (x-3) = - 3 (x-3)

Divide by (x-3)

c = - 3

The right and left hand side need to be equal for there to be infinite solutions, so c = - 3