Question

10x−1=
7x+26

Answer 1

To solve the equation \( 10x - 1 = 7x + 26 \), follow these steps:

1. **Rearrange the equation** to get all terms involving \( x \) on one side and constant terms on the other side. Subtract \( 7x \) from both sides:

\[
10x - 7x - 1 = 26
\]

This simplifies to:

\[
3x - 1 = 26
\]

2. **Add 1** to both sides to isolate the term with \( x \):

\[
3x - 1 + 1 = 26 + 1
\]

This simplifies to:

\[
3x = 27
\]

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

\[
x = \frac{27}{3} = 9
\]

So, the solution is:

\[
\boxed{9}
\]