Answer:
The value of x in this equation is 3/2.
Explanation:
First, let's take the original equation:
2 + 5x - 2x = 6x + 3x - 7
In order to solve for x, we must isolate the variable x on one side of the equation, and the rest of the numbers on the other side of the equation. So we take: 2 + 5x - 2x = 6x + 3x - 7 and use some of the properties of equality:
We start with 2 + 5x - 2x = 6x + 3x - 7 and see that we can minus 2 on both sides of the equation as highlighted below:
2 + 5x - 2x = 6x + 3x - 7
2 + 5x - 2x - 2 = 6x + 3x - 7 - 2
This simplifies the equation to 5x - 2x = 6x + 3x - 9.
Remember, we can arrange the equation like this along as we do on one side what we do on the other. Now, we have 5x - 2x = 6x + 3x - 9, and see that the rest of 6x and 3x needs to go on the left side of the equation. In order to do this, we can minus 6x from both sides of the equation as shown below:
5x - 2x = 6x + 3x - 9
5x - 2x - 6x = 6x + 3x - 9 - 6x
which then simplifies to 5x - 2x - 6x = 3x - 9. Now we can do the same thing by minus 3x from both sides of the equation.
5x - 2x - 6x = 3x - 9
5x - 2x - 6x - 3x = 3x - 9 - 3x
5x - 2x - 6x - 3x = -9
Now, we must simplify the left side of this equation by adding together the variable numbers 5x - 2x - 6x - 3x. This is shown below:
5x - 2x - 6x - 3x = -9
3x - 6x - 3x = -9
-6x = -9
Lastly, we can divide the number -9 by -6 to get the answer of what 1 x equals. This means -9/-6 = 3/2.
X is indeed equal to 3/2