2(3x-6)-3(5x+4)=5(7x-8)
For this equation, I keep getting .36363636363636363636 repeating. Is this right? I think I am doing something wrong...Please help, thanks
6x -12 -15x -12 = 35x -40
-9x -24 = 35x - 40
44 x = 16
x = 4/11
That is the same as your repeating decimal. Your answer is correct, but would be better written as a fraction
oh, ok, thanks
To solve this equation, let's break it down step-by-step.
Starting with: 2(3x - 6) - 3(5x + 4) = 5(7x - 8)
1. Distribute the multiplication to the terms inside the parentheses:
6x - 12 - 15x - 12 = 35x - 40
2. Combine like terms on both sides:
(6x - 15x) + (-12 - 12) = 35x - 40
-9x - 24 = 35x - 40
3. Move the variables to one side and the constants to the other side:
-9x - 35x = -40 + 24
-44x = -16
4. Divide by -44 on both sides to solve for x:
x = (-16) / (-44)
Now, let's simplify the answer.
Dividing -16 by -44 gives: x = 0.36363636363636363636...
Yes, you are correct, the decimal value of x is approximately 0.36363636363636363636, which repeats indefinitely.
You may have made a mistake while performing the calculations, resulting in the repeating decimal. Double-check your calculations to ensure accuracy.