Question

What is the value of x in the equation −x = 4 − 3x + 6? 5 10 −5 −10

Answer 1

Hey!


The first step to solving this equation would be to rearrange it. It's better to rearrange it so that it is easier to solve.

Original Equation :
 −x = 4 − 3x + 6

New Equation {Changed by Rearranging} :
-x = -3x + 4 + 6

Next we would group our like terms.
We can see that both 4 and 6 are whole numbers and can be added easily, so we'll start by grouping those like terms first.

Old Equation :
-x = -3x + 4 + 6

New Equation {Created by Grouping Like Terms} :
-x = -3x + 10

Now we add 3x to both sides to get rid of the -3x on the left side of the equation.

Old Equation :
-x = -3x + 10

New Equation {Changed by adding 3x to Both Sides} :
-2x = 10

Almost done! Our equation is one step closer to being solved.
Next, we will divide both sides by 10 to get x on its own.

Old Equation :
-2x = 10

New Equation :
x = 5

Our equation can now no longer be simplified any farther. Therefore, it is officially solved!

The value of x in the equation −x = 4 − 3x + 6 is  x = 5.

Hope I helped!


- Lindsey Frazier ♥