Question

4x - 9 = 7x + 12

Explanation:

Step1: Rearrange the equation

We start with the equation \(4x - 9 = 7x + 12\). To solve for \(x\), we first want to get all the \(x\)-terms on one side and the constant terms on the other. Let's subtract \(4x\) from both sides:
\(4x - 4x - 9 = 7x - 4x + 12\)
Simplifying both sides, we get:
\(-9 = 3x + 12\)

Step2: Isolate the \(x\)-term

Next, we subtract 12 from both sides to isolate the term with \(x\):
\(-9 - 12 = 3x + 12 - 12\)
Calculating the left side and simplifying the right side:
\(-21 = 3x\)

Step3: Solve for \(x\)

Now, we divide both sides by 3 to solve for \(x\):
\(\frac{-21}{3} = \frac{3x}{3}\)
Simplifying both sides gives:
\(x = -7\)

Answer:

\(x = -7\)