solve the following equation by clearing fraction want to know if this right
-7/3-5/2x=8+2x
6(-7/3)-(5/2)(6)=6(6)+2x(6)
14x-15=48+12x
14x-12x-15=48+14x-14x
2x-15=48
2x-15+15=48+15
2x=-33
2x/2x=-33/2
x=-33/2
To solve the equation -7/3 - 5/2x = 8 + 2x by clearing the fractions, you can follow these steps:
1. Find a common denominator for the fractions on both sides of the equation. In this case, the least common denominator is 6.
2. Multiply every term in the equation by 6 to eliminate the fractions. This step is called clearing the fractions.
So, let's go through the steps:
-7/3 - 5/2x = 8 + 2x
Multiply every term by 6:
6*(-7/3) - (5/2)(6) = 6*8 + 6*2x
Simplify the equation:
-14 - 15x = 48 + 12x
Now, you want to isolate the variable "x" on one side of the equation. To do this, you can move all the terms with "x" to one side and all the constant terms to the other side.
-14 - 15x - 12x = 48
Combine the "x" terms:
-14 - 27x = 48
Now, move the constant term to the other side:
-14 - 27x + 14 = 48 + 14
Simplify the equation:
-27x = 62
Finally, solve for "x" by dividing both sides of the equation by -27:
-27x / -27 = 62 / -27
x = -33/2
Therefore, the solution to the equation -7/3 - 5/2x = 8 + 2x after clearing the fractions is x = -33/2.
Again, you shifted x term on the left sides from first to third equation.
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