Question

Which expression is equivalent to 2/3(9x - 6) + 4(1/2x - 1/2)?

A. 2/3(6x - 9) + 1/6(x + 12)
B. 2/3(3x - 6) + 1/6(x - 12)
C. 3/4(4x - 8) + 5(x + 15)
D. 3/4(4x - 12) + 1/6(30x + 18)

Answer 1

The expression is equivalent to 8x - 6.

Step-by-step explanation:

We can simplify the given expression by distributing the coefficients to the terms within the parentheses. Let's solve the expression step by step:

1. Multiply 2/3 with 9x and -6: (2/3) * 9x = 6x and (2/3) * -6 = -4
2. Multiply 4 with 1/2x and -1/2: 4 * (1/2x) = 2x and 4 * -1/2 = -2
3. Combine the like terms: 6x - 4 + 2x - 2 = 8x - 6

Therefore, the expression is equivalent to 8x - 6.