To solve the equation \(4x + 7 = 5x + 6\), follow these steps:
1. Move all terms involving \(x\) to one side and constants to the other side:
- Subtract \(4x\) from both sides to isolate the terms involving \(x\) on one side of the equation:
[tex]\[
4x + 7 - 4x = 5x + 6 - 4x
\][/tex]
Simplifying this, we get:
[tex]\[
7 = x + 6
\][/tex]
2. Isolate the variable \(x\):
- Subtract 6 from both sides to move the constants to the left side of the equation:
[tex]\[
7 - 6 = x + 6 - 6
\][/tex]
Simplifying this, we get:
[tex]\[
1 = x
\][/tex]
So the solution to the equation \(4x + 7 = 5x + 6\) is:
[tex]\[
x = 1
\][/tex]
