Question

Solve x-2/4+2x/3 ∠x-12/6?

a) (x - 2)/(4 + 2x/3) - 12/6
b) (x - 2)/(4) + 2x/(3∠x) - 12/6
c) (x - 2)/(4 + 2x/3 - x) - 12/6
d) (x - 2)/(4 + 2x/3) + x - 12/6

Answer 1

To solve the equation x-2/4+2x/3 ∠x-12/6, simplify and combine like terms to get the answer.

Step-by-step explanation:

To solve the equation x-2/4+2x/3 ∠x-12/6, we need to simplify and perform the operations in the correct order. Here are the steps:

1. Combine like terms:
   (x - 2)/4 + (2x)/3 ∠ (x - 12)/6
2. To find a common denominator, multiply the fractions:
   ((x - 2)(3) + (2x)(2))/12 ∠ ((x - 12)(2))/12
3. Simplify:
   (3x - 6 + 4x)/12 ∠ (2x - 24)/12
4. Combine like terms:
   (7x - 6)/12 ∠ (2x - 24)/12
5. Write the expression using the simplified form:
   (7x - 6)/12 + (2x - 24)/12

Therefore, the correct answer is option b) (x - 2)/4 + 2x/(3∠x) - 12/6.