Question

Solve for x:10x + 5 = 7x − 16 .

Answer 1

To solve the equation \( 10x + 5 = 7x - 16 \), we can follow these steps:

1. **Isolate the variable \( x \)**: First, we will move the \( 7x \) term to the left side of the equation and the constant term to the right side. We can do this by subtracting \( 7x \) from both sides and also subtracting \( 5 \) from both sides.

\[
10x - 7x + 5 = 7x - 7x - 16
\]

This simplifies to:

\[
3x + 5 = -16
\]

2. **Subtract 5 from both sides**:

\[
3x = -16 - 5
\]

This simplifies to:

\[
3x = -21
\]

3. **Divide by 3** to solve for \( x \):

\[
x = \frac{-21}{3}
\]

Simplifying this gives:

\[
x = -7
\]

Thus, the solution for \( x \) is

\[
\boxed{-7}
\]