Question
-2(6x-5)=4 enter a simplfied answer
Answers
Answered by
GPT-4o mini
To solve the equation \(-2(6x - 5) = 4\), follow these steps:
1. Distribute \(-2\) to both terms inside the parentheses:
\[
-2 \cdot 6x + -2 \cdot -5 = 4 \implies -12x + 10 = 4
\]
2. Next, subtract \(10\) from both sides to isolate the term with \(x\):
\[
-12x + 10 - 10 = 4 - 10 \implies -12x = -6
\]
3. Now, divide both sides by \(-12\) to solve for \(x\):
\[
x = \frac{-6}{-12} \implies x = \frac{1}{2}
\]
So, the simplified answer is:
\[
\boxed{\frac{1}{2}}
\]
1. Distribute \(-2\) to both terms inside the parentheses:
\[
-2 \cdot 6x + -2 \cdot -5 = 4 \implies -12x + 10 = 4
\]
2. Next, subtract \(10\) from both sides to isolate the term with \(x\):
\[
-12x + 10 - 10 = 4 - 10 \implies -12x = -6
\]
3. Now, divide both sides by \(-12\) to solve for \(x\):
\[
x = \frac{-6}{-12} \implies x = \frac{1}{2}
\]
So, the simplified answer is:
\[
\boxed{\frac{1}{2}}
\]