Question

Enter the value for x that makes the equation 9 + 8x -4 -5x = -19 true.

explain how you get it please
help ASAP!

Answer 1

x = -8

Explanation:

We can isolate the variable to find the solution.

Isolating the Variable

There are a few methods we can use in order to isolate the variable. One thing we can do is combine like terms. Combining like terms is when we add together all terms that have the same variable.

Additionally, the properties of equality state that we can add, subtract, or divide by any number, so long as we do it to both sides. This means that we can manipulate the equation in any way if we do the same thing on both sides of the equation.

Solving for x

First, let's rewrite the equation.

• 9 + 8x -4 -5x = -19

Next, combine like terms on the left side. Remember that 9 and -4 are like terms because they are both constants, and 8x and -5x are like terms because they both have x.

• (9 - 4) + (8x - 5x) = -19
• 5 + 3x = -19

Then, subtract 5 from both sides.

• 3x = -24

Finally, divide both sides by 3.

• x = -8

This means that x = -8 will make the equation true.

Answer 2

Answer: x = -8

Work Shown:

9 + 8x - 4 - 5x = -19

3x + 5 = -19

3x = -19-5

3x = -24

x = -24/3

x = -8