How do I solve this?

Question

How do I solve this equation??

x/2 + 1 = -x/4 + 7

Answer 1

You can solve this equation by using inverse operations.

x + 1 = - x + 7

2 4

First let's subtract 1 from both sides of the equation:

x + 1 - 1 = - x + 7 - 1

2 4

x = - x + 6

2 4

Now add x to both sides of the equation:

4

x + x = -x + x + 6

2 4 4 4

Using 4 as the common denominator:

3 x = 6

4

Now multiply booth sides by the reciprocal of 3/4 (or 4/3):

4 •3 x = 6 • 4

3 4 3

Then x = 8 is the solution to this equation.