To solve the equation:
-1/2x + 4 = 15/3x + 6
First, let's simplify the equation by multiplying both sides by 6 to eliminate the fractions:
6 * (-1/2x + 4) = 6 * (15/3x + 6)
-3x + 24 = 30x + 36
Next, let's subtract 30x from both sides:
-3x - 30x + 24 = 30x - 30x + 36
-33x + 24 = 36
Now, let's isolate the x variable by subtracting 24 from both sides:
-33x + 24 - 24 = 36 - 24
-33x = 12
Finally, divide both sides by -33 to solve for x:
-33x / -33 = 12 / -33
x = -12/33 or simplified further as x = -4/11.
