Question
Solve for x. Show each step of the solution.
4.5(8 − x) + 36 = 102 − 2.5(3x + 24)
4.5(8 − x) + 36 = 102 − 2.5(3x + 24)
Answers
GPT 3.5
4.5(8 - x) + 36 = 102 - 2.5(3x + 24)
First, distribute the 4.5 and the 2.5:
36 - 4.5x + 36 = 102 - 7.5x - 60
Combine like terms on both sides to simplify:
72 - 4.5x = 42 - 7.5x
Next, add 4.5x to both sides to isolate the variable terms on one side:
72 = 42 - 7.5x + 4.5x
Simplify the expression on the right side:
72 = 42 - 3x
Next, subtract 42 from both sides to isolate the variable term on one side:
72 - 42 = -3x
Combine like terms:
30 = -3x
Finally, divide both sides by -3 to solve for x:
30 / -3 = x
The solution is:
x = -10
First, distribute the 4.5 and the 2.5:
36 - 4.5x + 36 = 102 - 7.5x - 60
Combine like terms on both sides to simplify:
72 - 4.5x = 42 - 7.5x
Next, add 4.5x to both sides to isolate the variable terms on one side:
72 = 42 - 7.5x + 4.5x
Simplify the expression on the right side:
72 = 42 - 3x
Next, subtract 42 from both sides to isolate the variable term on one side:
72 - 42 = -3x
Combine like terms:
30 = -3x
Finally, divide both sides by -3 to solve for x:
30 / -3 = x
The solution is:
x = -10