Answer:
x = 15/8
Explanation:
To solve the equation -2/5x + 3 = 2/3x + 1/3, you can follow these steps:
First, let's get rid of the fractions. To do this, you can multiply both sides of the equation by the least common multiple (LCM) of 5 and 3, which is 15. This will clear the fractions.
(15) * (-2/5x + 3) = (15) * (2/3x + 1/3)
Distribute the 15 on both sides of the equation:
-2(3x) + 15(3) = 2(5x) + 15(1)
Simplify each side of the equation:
-6x + 45 = 10x + 15
Now, let's isolate the variable x. First, subtract 10x from both sides of the equation:
-6x - 10x + 45 = 15
-16x + 45 = 15
Next, subtract 45 from both sides to isolate -16x:
-16x + 45 - 45 = 15 - 45
-16x = -30
Finally, divide both sides by -16 to solve for x:
(-16x) / (-16) = (-30) / (-16)
x = 15/8
So, the solution to the equation is:
x = 15/8