Question

Find the missing number so that the equation has infinitely many solutions. 2x - 10 + 2x = 4x +

Answer 1

Answer:

-10

Step-by-step explanation:

1. First, let's simplify both sides of the equation.

• $2x - 10 + 2x = 4x + ?$
• $4x - 10 = 4x + ?$

2. To find the missing value to make the equation have infinitely many solutions, we need to make both sides of the equation equal.

3. Given that information, means that 4x - 10 has to equal 4x + (-10) because:

• $4x - 10 = 4x + (-10)$
• $4x - 10 = 4x - 10$

4. Now, with the information in #2, let's see if it's true:

• $4x - 10 = 4x - 10$
• $4x - 10 -4x = 4x - 10 - 4x$
• $-10 = -10$
• $-10+10=-10+10$
• $0=0$
• (0 = 0 means that the equation has infinitely many solutions)

Therefore, the missing number is -10.