Question

solve the equation.
-9(x - 2) - 30 = -12
x = \square (simplify your answer.)

Explanation:

Step1: Expand the left - hand side

First, we use the distributive property \(a(b - c)=ab - ac\) to expand \(-9(x - 2)\). So \(-9(x - 2)=-9x+18\). The original equation \(-9(x - 2)-30=-12\) becomes \(-9x + 18-30=-12\).

Step2: Simplify the left - hand side

Combine like terms on the left - hand side. \(18-30=-12\), so the equation is \(-9x-12=-12\).

Step3: Add 12 to both sides

Add 12 to both sides of the equation \(-9x-12=-12\). We get \(-9x-12 + 12=-12 + 12\), which simplifies to \(-9x=0\).

Step4: Solve for x

Divide both sides of the equation \(-9x = 0\) by \(-9\). So \(x=\frac{0}{-9}=0\).

Answer:

\(x = 0\)