Solve for the value of x in the equation 10x + 5x + 5 = 65

Answer 1

To solve the equation \(10x + 5x + 5 = 65\), we can first combine like terms on the left side.

1. Combine the \(10x\) and \(5x\):

\[ 10x + 5x = 15x \]

So the equation becomes:

\[ 15x + 5 = 65 \]

2. Next, subtract 5 from both sides to isolate the term with \(x\):

\[ 15x + 5 - 5 = 65 - 5 \]

This simplifies to:

\[ 15x = 60 \]

3. Now, divide both sides by 15 to solve for \(x\):

\[ x = \frac{60}{15} \]

This simplifies to:

\[ x = 4 \]

Thus, the value of \(x\) is \(\boxed{4}\).