Question

Solve the equation and check the solution.
7xequals6xplus 2

Answer 1

To solve the equation \( 7x = 6x + 2 \), we will first isolate \( x \).

1. Subtract \( 6x \) from both sides:

\[
7x - 6x = 2
\]

This simplifies to:

\[
x = 2
\]

Now, let's check the solution by substituting \( x = 2 \) back into the original equation:

\[
7(2) = 6(2) + 2
\]

Calculating both sides:

Left side:

\[
7(2) = 14
\]

Right side:

\[
6(2) + 2 = 12 + 2 = 14
\]

Both sides are equal:

\[
14 = 14
\]

This confirms that the solution \( x = 2 \) is correct.

Thus, the solution to the equation is:

\[
\boxed{2}
\]