Is the equation True, False, or Open? 4x + 5 = 2x + 13

Open

To determine if the equation 4x + 5 = 2x + 13 is true, false, or open, we need to solve it for x.

First, let's subtract 2x from both sides of the equation to eliminate the x term on the right side:

4x + 5 - 2x = 2x + 13 - 2x

Simplifying this gives:

2x + 5 = 13

Next, let's subtract 5 from both sides of the equation:

2x + 5 - 5 = 13 - 5

Simplifying this gives:

2x = 8

Finally, we divide both sides by 2 to solve for x:

(2x)/2 = 8/2

Simplifying this gives:

x = 4

Therefore, the equation 4x + 5 = 2x + 13 is true when x = 4.

To determine if the equation 4x + 5 = 2x + 13 is true, false, or open, we need to solve the equation and see if it satisfies the given conditions.

First, let's simplify the equation by moving all the terms with x to one side and the constant terms to the other side:

4x - 2x = 13 - 5

This simplifies to:

2x = 8

Next, divide both sides of the equation by 2 to isolate x:

2x/2 = 8/2

x = 4

Now, substitute the value of x (4) back into the original equation and check if it satisfies the equation:

4(4) + 5 = 2(4) + 13

16 + 5 = 8 + 13

21 = 21

Since the equation is satisfied when x = 4, we conclude that the equation 4x + 5 = 2x + 13 is true.