Finish the equation so that the equation has infinite amount of solutions. Click Here for Rubric 6 ( 7 + 2 ) − 8 = 6 (7x +2) −8 =

6 (7x + 2) - 8 = 6 (7x + 2) - 8

To make the equation have an infinite number of solutions, we need to ensure that both sides of the equation are equal, regardless of the value of x.

Let's simplify the equation step by step:

6(7 + 2) - 8 = 6(7x + 2) - 8

First, we simplify within the parentheses:

6(9) - 8 = 6(7x + 2) - 8

Next, we multiply:

54 - 8 = 42x + 12 - 8

Simplifying further:

46 = 42x + 4

At this point, we can subtract 4 from both sides of the equation to isolate the term with x:

42 = 42x

Now, we can divide both sides of the equation by 42 in order to solve for x:

42/42 = 42x/42

1 = x

After simplification, we find that x is equal to 1.

Since we have a specific value of x that satisfies the equation, there is not an infinite number of solutions.

To create an equation with an infinite number of solutions, we want the equation to be always true, regardless of the value of 'x'.

By simplifying the equation you provided, we get:

6(7x + 2) - 8 = 6(7x + 2) - 8

To have an infinite number of solutions, we need the equation to remain equivalent after performing any operation. In this case, we can choose to simplify the equation by distributing the number 6, since it will still be present in both sides of the equation.

Distributing the number 6:

42x + 12 - 8 = 42x + 12 - 8

Simplifying further:

42x + 4 = 42x + 4

As you can see, both sides of the equation are identical, meaning the equation is always true, regardless of the value of 'x'. Therefore, this equation has an infinite number of solutions.