To solve the equation, we need to isolate the variable x.
-2/x + 4 = 4/x + 3
First, let's combine the terms with x on the right side:
-2/x + 4 = 4/x + 3
-2/x - 4/x = 3
-6/x = 3
Next, multiply both sides by x to eliminate the denominator:
-6 = 3x
Now, divide both sides by 3 to solve for x:
x = -2
Therefore, the solution to the equation is x = -2.
solve the equation
-2 / x +4 = 4 /x +3
3 answers
check the solution
Let's substitute the value of x = -2 back into the original equation and see if it holds true:
-2 / x + 4 = 4 / x + 3
-2 / (-2) + 4 = 4 / (-2) + 3
-2 / (-2) = -2 = 4 / -2 + 3
1 + 4 = -2 + 3
5 = 1
Since the equation did not hold true when we substituted x = -2 back into the original equation, it indicates that x = -2 is not the correct solution for the given equation. Let's try to solve the equation again:
Given equation: -2 / x + 4 = 4 / x + 3
Multiply the entire equation by x to eliminate the denominators:
-2 + 4x = 4 + 3x
Rearrange the terms:
4x - 3x = 4 + 2
x = 6
Therefore, the correct solution to the equation is x = 6.
-2 / x + 4 = 4 / x + 3
-2 / (-2) + 4 = 4 / (-2) + 3
-2 / (-2) = -2 = 4 / -2 + 3
1 + 4 = -2 + 3
5 = 1
Since the equation did not hold true when we substituted x = -2 back into the original equation, it indicates that x = -2 is not the correct solution for the given equation. Let's try to solve the equation again:
Given equation: -2 / x + 4 = 4 / x + 3
Multiply the entire equation by x to eliminate the denominators:
-2 + 4x = 4 + 3x
Rearrange the terms:
4x - 3x = 4 + 2
x = 6
Therefore, the correct solution to the equation is x = 6.