Respuesta :

The goal is obviously to solve for x. It is easiest to do that if you only have x on one side and a number on the other. To cancel out the -x on the right side, add x to each side. That gives you 0.5x + 2 = 7. Then, subtract 2 from each side. That gives you 0.5x = 5. But you need to solve for one x, so multiply both sides by 2. That gives you x = 10. The key with doing this is that whatever you add, subtract, multiply or divide, you have to do it to BOTH SIDES. Hope this helped!

The basic rule of algebra is whatever you do on one side, you must do to the other. We have the equation:

[tex] -\frac{1}{2}x + 2 = -x + 7 [/tex]

To clean up the problem, let's subtract 2 from both sides. Since +2 -2 cancels out and +7 - 2 is 5, we are left with:

[tex] -\frac{1}{2}x = -x + 5 [/tex]

Now, since fractions can be messy, we could cancel the 2 in the denominator by multiplying both sides by 2.

[tex] 2(-\frac{1}{2}x) = 2(-x + 5) [/tex]

After doing that, the denominator on the left cancels out, which leaves us with -x on the left and -2x + 10 on the right.

[tex] -x = -2x + 10 [/tex]

Add 2x to both sides. This will cancel the -2x on the right, leaving us with 10 on the right and give us x on the left.

[tex] x = 10 [/tex]

Since x is isolated, the answer is x = 10.

Otras preguntas