Question

(2x - 5) + (75) + (0.5x + 30) = 180. What is the value of x? Remember to combine like terms.

A. x = 3.1
B. x = 31
C. x = 32
D. x = 3.2
E. None of the above.

Answer 1

To solve the given equation, combine like terms to get 2.5x + 100 = 180, which simplifies to 2.5x = 80 after subtracting 100. Dividing by 2.5, the value of x is found to be x = 32.

Step-by-step explanation:

The student asked to solve the equation: (2x - 5) + (75) + (0.5x + 30) = 180 for the value of x. First, combine like terms by adding 2x and 0.5x together, as well as -5, 75, and 30. This simplifies the equation to 2.5x + 100 = 180. Next, subtract 100 from both sides to isolate 2.5x, which results in 2.5x = 80. Finally, divide both sides by 2.5 to solve for x, yielding x = 32.