Question

what is the solution to this equation?
5x + 9 - 3x = 18 + 15
a. x = 21
b. x = 12
c. x = 3
d. x = 8

Explanation:

Step1: Combine like terms on left and right

Left: \(5x - 3x + 9 = 2x + 9\)
Right: \(18 + 15 = 33\)
Equation becomes: \(2x + 9 = 33\)

Step2: Subtract 9 from both sides

\(2x + 9 - 9 = 33 - 9\)
Simplify: \(2x = 24\)

Step3: Divide both sides by 2

\(\frac{2x}{2} = \frac{24}{2}\)
Simplify: \(x = 12\)

Answer:

B. \(x = 12\)