Question

solve 9+3x divided by 4=x+3

Answer 1

To solve the equation \(\frac{9 + 3x}{4} = x + 3\), we will start by clearing the fraction. We can do this by multiplying both sides of the equation by 4:

\[
9 + 3x = 4(x + 3)
\]

Now, distribute \(4\) on the right side:

\[
9 + 3x = 4x + 12
\]

Next, we will isolate \(x\). Let's subtract \(3x\) from both sides:

\[
9 = 4x - 3x + 12
\]

This simplifies to:

\[
9 = x + 12
\]

Now, subtract \(12\) from both sides to solve for \(x\):

\[
9 - 12 = x
\]

\[
-3 = x
\]

Thus, the solution is:

\[
x = -3
\]