Question

solve for x.
2(4x - 6) = 36
simplify your answer as much as possible.
x = \boxed{}

Explanation:

Step1: Divide both sides by 2

To isolate the term with \( x \), we first divide both sides of the equation \( 2(4x - 6)=36 \) by 2. This gives us \( \frac{2(4x - 6)}{2}=\frac{36}{2} \), which simplifies to \( 4x - 6 = 18 \).

Step2: Add 6 to both sides

Next, we add 6 to both sides of the equation \( 4x - 6 = 18 \) to get rid of the -6 on the left side. So, \( 4x - 6 + 6 = 18 + 6 \), which simplifies to \( 4x = 24 \).

Step3: Divide both sides by 4

Finally, we divide both sides of the equation \( 4x = 24 \) by 4 to solve for \( x \). That is, \( \frac{4x}{4}=\frac{24}{4} \), which gives \( x = 6 \).

Answer:

\( x = 6 \)