To solve the equation [tex]\(4x = 12 - 7x\)[/tex] for [tex]\(x\)[/tex], follow these detailed steps:
1. First, move the terms involving [tex]\(x\)[/tex] to one side of the equation:
[tex]\[ 4x + 7x = 12 \][/tex]
2. Combine the [tex]\(x\)[/tex] terms on the left side:
[tex]\[ 11x = 12 \][/tex]
3. To isolate [tex]\(x\)[/tex], divide both sides of the equation by the coefficient of [tex]\(x\)[/tex], which is 11:
[tex]\[ x = \frac{12}{11} \][/tex]
So the value of [tex]\(x\)[/tex] is [tex]\(\frac{12}{11}\)[/tex].
Therefore, the correct answer is (B) [tex]\(\frac{12}{11}\)[/tex].
