If 4.7 plus 3.2 times a number equals the sum of the number and 52.7 what is the number write out the equation and solve.

4.7 + 3.2x = x + 52.7

To write out the equation, we let the unknown number be represented by the variable 'x'.

The equation can be written as:

4.7 + 3.2x = x + 52.7

To solve the equation, we can start by combining like terms.

Subtracting 'x' from both sides gives:

4.7 + 2.2x = 52.7

Next, we can subtract 4.7 from both sides to isolate the variable term.

2.2x = 52.7 - 4.7

Simplifying further, we have:

2.2x = 48

Finally, we can solve for 'x' by dividing both sides by 2.2:

x = 48 / 2.2

Evaluating the division gives:

x ≈ 21.82

Therefore, the number is approximately 21.82.

To solve this problem, we will first write out the equation based on the given information and then solve for the unknown number.

Let's represent the unknown number with the variable 'x'.

According to the problem statement, the equation can be written as:
4.7 + 3.2x = x + 52.7

To solve for 'x', we need to isolate the variable on one side of the equation. Let's simplify the equation step by step.

Step 1: Remove the parentheses, if any.
No parentheses are present in the equation.

Step 2: Combine like terms, if possible.
On the left side, we have 4.7 and on the right side, we have 52.7. These can be considered like terms.

4.7 + 3.2x = x + 52.7
4.7 - 52.7 + 3.2x = x

Simplifying the equation further, we get:
-48 + 3.2x = x

Step 3: Move all terms containing 'x' to one side of the equation.
Subtract 'x' from both sides of the equation:

-48 + 3.2x - x = 0
-48 + 2.2x = 0

Step 4: Move the constant term to the other side of the equation.
Add 48 to both sides of the equation:

-48 + 2.2x + 48 = 0 + 48
2.2x = 48

Step 5: Solve for 'x'.
To isolate 'x', divide both sides of the equation by 2.2:

2.2x / 2.2 = 48 / 2.2
x = 21.81818...

Therefore, the value of the unknown number 'x' is approximately 21.81818...