select the correct answer. which value of x makes the equation true? $\frac{3x - 6}{3}=\frac{7x - 3}{6}$\na…

select the correct answer. which value of x makes the equation true? $\frac{3x - 6}{3}=\frac{7x - 3}{6}$\na. -11\nb. -9\nc. -3\nd. 3

select the correct answer. which value of x makes the equation true? $\frac{3x - 6}{3}=\frac{7x - 3}{6}$\na. -11\nb. -9\nc. -3\nd. 3

Answer

Explanation:

Step1: Cross - multiply the equation.

$6(3x - 6)=3(7x - 3)$

Step2: Expand both sides.

$18x-36 = 21x-9$

Step3: Move the x - terms to one side and constants to the other.

$18x-21x=-9 + 36$

Step4: Simplify both sides.

$-3x=27$

Step5: Solve for x.

$x=\frac{27}{-3}=-9$

Answer:

B. -9