Question

10 what value of x makes this equation true?
12x - 15 = 6 - 3x
f \\(\frac{7}{3}\\)
g \\(\frac{3}{7}\\)
h \\(\frac{5}{7}\\)
j \\(\frac{7}{5}\\)

Explanation:

Step1: Add 3x to both sides

To get all the x terms on one side, we add \(3x\) to both sides of the equation \(12x - 15 = 6 - 3x\). This gives us \(12x + 3x - 15 = 6 - 3x + 3x\), which simplifies to \(15x - 15 = 6\).

Step2: Add 15 to both sides

Next, we add 15 to both sides to isolate the term with x. So, \(15x - 15 + 15 = 6 + 15\), which simplifies to \(15x = 21\).

Step3: Divide both sides by 15

To solve for x, we divide both sides of the equation \(15x = 21\) by 15. This gives us \(x=\frac{21}{15}\), and simplifying the fraction by dividing both the numerator and denominator by 3, we get \(x = \frac{7}{5}\).

Answer:

J. \(\frac{7}{5}\)