Question

-7+5x=5x+9 can you help me solve this

Answer 1

No solutions

Explanation:

Pre-Solving

We are given the following equation:

-7 + 5x = 5x + 9

We want to solve it.

To solve, we need to isolate the variable (in this case, x) onto one side.

Solving

To start, we can add 7 to both sides to move -7 from the left side.

-7 + 5x = 5x + 9

+7 +7

_____________

5x = 5x + 16

Now, we can subtract 5x from both sides to get 5x off the right side.

5x = 5x + 16

-5x -5x

____________

0 = 16

As you can see, we have cleared out our variable completely, and we are left with 0 = 16, which is untrue.

This means that there are no values of x that will make the equation true, because no matter what the value of x will be, it will always simplify to become the untrue statement, 0 = 16.

Therefore, the equation has no solutions.

Answer 2

There is no solution to this equation.

Explanation:

Two-Step Equations

Two-step equations are equations that require two steps to solve. Essentially, we would move the variable terms to one side. Then, we would perform a mathematical operation to move the constant to the other side. This would render an answer in the form of a variable equivalent to a numerical value.

Solve

To solve the equation, we want to isolate the variable, which in this case is x. We start with our initial equation:

`-7 + 5x = 5x + 9`

We can simplify by subtracting 5x from both sides of the equation:

`-7 + 5x - 5x = 5x - 5x + 9\\\\-7 = 9`

-7 cannot equal 9. Since this is the solution we have calculated, it is impossible for this equation to have a correct solution. The equation has no solution.

Final Answer

Therefore, there is no solution to the equation.