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