Solve the Equation

Question

Solve the equation x/4 + x+1/3= 0. What is the value of x? Enter your answer as an integer, like this: 42

Or as a fraction, in simplest form, like this: 42/53

Answer 1

Solving for x, we will have to combine like terms,remember that x/4 is the same as 1/4 x:

1/4 x +x +1/3 = 0 combine your x's by adding 1/4 x to 1 x:

5/4 x + 1/3 = 0

Now we need to have all the x terms on one side and the numbers on the other. So let's subtract 1/3 from both sides which will give you:

5/4x = -1/3

To solve for x, we need to divide both sides by 5/4 or multiply by the reciprocal which is 4/5.

x = -1/3 * 4/5

Simplify to get your result for x. Hope this helped!

Answer 2

1/4x + 1x + 1/3 =0

1/4x + 1x = -1/3

5/4x = -1/3

x =-1/3(4/5)

x = -4/15

You could also remove the denominator in the original equation

x/4 + x + 1/3 = 0

12(x/4 + x + 1/3 =0)

3x + 12x + 4 = 0

Combine like terms

15x + 4 = 0

Subtract 4 both sides

15x = -4

Divide both sides by 15

x = -4/15

Check the answer in the original equation

Give it a try