Solve the equation 1/2x -5 +2/3x=7/6x+4
To solve the equation 1/2x - 5 + 2/3x = 7/6x + 4, we need to simplify and isolate the variable x. Here's how you can do it step by step:
Step 1: Combine the like terms on both sides of the equation. To do this, we need to find a common denominator for the fractions involved. In this case, the common denominator is 6.
Rewrite the equation:
(1/2)x - 5 + (2/3)x = (7/6)x + 4
Multiply all terms by 6 to eliminate the fractions:
6 * [(1/2)x] - 6 * 5 + 6 * [(2/3)x] = 6 * [(7/6)x] + 6 * 4
Simplify:
3x - 30 + 4x = 7x + 24
Step 2: Combine the x terms on both sides of the equation:
3x + 4x - 7x = 24 + 30
Simplify:
7x - 7x = 54
Step 3: Solve for x:
0 = 54
Since the equation results in 0 = 54, which is not a true statement, we have an inconsistent equation. Therefore, there is no solution to this problem.
In conclusion, the equation 1/2x - 5 + 2/3x = 7/6x + 4 has no solution.
1/2x -5 +2/3x=7/6x+4
multiply each term by 6 , the LCD
3x - 30 + 4x = 7x + 24
I am sure you can handle this equation.