Solve the following equation algebraically. Show your work.

6 = x+2/3 (fraction)

1 answer

To solve the equation 6 = x + 2/3 algebraically, we need to isolate the variable x.

Starting with:

6 = x + 2/3

We want to isolate the x term, so we start by subtracting 2/3 from both sides:

6 - 2/3 = x + 2/3 - 2/3

Combining like terms, we have:

6 - 2/3 = x + 0

To subtract 2/3 from 6, we need them to have the same denominator. The denominator for 6 is 1, so we multiply 2/3 by 1 to get the same denominator:

6 - 2/3 = x
18/3 - 2/3 = x

Combining the terms on the left side:

16/3 = x

Therefore, the solution to the equation 6 = x + 2/3 is x = 16/3.