To solve the equation \(7x + 3 = 30 - 2x\), we need to isolate \(x\) on one side of the equation.
First, let's add \(2x\) to both sides of the equation to get rid of \(2x\) on the right side:
\(7x + 3 + 2x = 30 - 2x + 2x\)
This simplifies to:
\(9x + 3 = 30\)
Next, subtract 3 from both sides to isolate \(9x\):
\(9x + 3 - 3 = 30 - 3\)
This simplifies to:
\(9x = 27\)
Finally, divide by 9 to solve for \(x\):
\(x = \frac{27}{9}\)
So, \(x = 3\).
Therefore, the solution to the equation is \(x = 3\).
