49 - 2/3 <em>x</em> = 32 - 1/6 <em>x</em>
Move the constant terms to one side and the terms containing <em>x</em> to the other:
49 - 32 = 2/3 <em>x</em> - 1/6 <em>x</em>
Simplify the left side, and pull out the common factor of <em>x</em> on the right side:
17 = (2/3 - 1/6) <em>x</em>
Write the fractions in terms of a common denominator. In this case, you would take
2/3 = 4/6
so that
(2/3 - 1/6) <em>x</em> = (4/6 - 1/6) <em>x</em> = 3/6 <em>x</em> = 1/2 <em>x</em>
Then the equation is
17 = 1/2 <em>x</em>
Multiply both sides by 2:
2 × 17 = 2 × 1/2 <em>x</em>
34 = <em>x</em>