Question

-12(x - 12)= -9 (1+7x)

Answer 1

To solve the equation \(-12(x - 12) = -9(1 + 7x)\), we can start by distributing both sides.

1. Distribute \(-12\) on the left side:
\[
-12x + 144
\]

2. Distribute \(-9\) on the right side:
\[
-9 - 63x
\]

Now, we can rewrite the equation:
\[
-12x + 144 = -9 - 63x
\]

Next, we can add \(63x\) to both sides to get all the \(x\) terms on one side:
\[
-12x + 63x + 144 = -9
\]

This simplifies to:
\[
51x + 144 = -9
\]

Now, subtract \(144\) from both sides:
\[
51x = -9 - 144
\]
\[
51x = -153
\]

Finally, divide both sides by \(51\) to solve for \(x\):
\[
x = \frac{-153}{51}
\]
\[
x = -3
\]

Thus, the solution is:
\[
\boxed{-3}
\]