Solve the following equation and check your result:5x+9=5+3x

Let's solve the equation step by step:

The given equation is:

5x + 9 = 5 + 3x

Step 1: Subtract 3x from both sides to get rid of the x term on the right side.

5x - 3x + 9 = 5 + 3x - 3x

This simplifies to:

2x + 9 = 5

Step 2: Subtract 9 from both sides to isolate the 2x term.

2x + 9 - 9 = 5 - 9

This simplifies to:

2x = -4

Step 3: Divide both sides by 2 to solve for x.

2x / 2 = -4 / 2

This simplifies to:

x = -2

Now, let's check the solution by substituting x = -2 into the original equation:

Original equation: 5x + 9 = 5 + 3x

Substitute x = -2:

5(-2) + 9 = 5 + 3(-2)

This becomes:

-10 + 9 = 5 - 6

Simplifying both sides:

-1 = -1

Since both sides are equal, the solution x = -2 is correct.

Therefore, the solution to the equation is:

x = -2