solve equation:
2/3x + 1/2 = 3/5x - 5/6
x is equal to -20 you can plug it back in to check
Jeannie, did you learn HOW to do this problem? It's no good just to get the answer if you don't understand the process.
Please be sure to let the math teachers here know if you need help understanding the process.
To solve the given equation:
2/3x + 1/2 = 3/5x - 5/6
Step 1: We'll start by getting rid of the fractions. To do this, we need to find a common denominator for all the fractions in the equation. In this case, the least common denominator (LCD) is 30.
Multiply every term in the equation by 30 to eliminate the fractions:
30 * (2/3x) + 30 * (1/2) = 30 * (3/5x) - 30 * (5/6)
The equation becomes:
20x + 15 = 18x - 25
Step 2: Next, let's gather the like terms. Move all the terms containing 'x' to one side of the equation and the constant terms to the other side:
20x - 18x = -25 - 15
This simplifies to:
2x = -40
Step 3: Finally, we will isolate 'x' by dividing both sides of the equation by 2:
x = -40/2
Which gives us the solution:
x = -20