2/3x - 5/8x = 26
Make 2/3 and 5/8 have common denominators in order to subtract the two fractions.
The least common denominator of the two fractions is 24. Multiply 2/3 by 8/8 and multiply 5/8 by 3/3.
- 2/3 * 8/8 = 16/24
- 5/8 * 3/3 = 15/24
Rewrite the equation using the fractions with common denominators.
16/24x - 15/24x = 26
Subtract the numerators straight across and keep the same denominator. You are left with:
1/24x = 26
Divide both sides by 1/24.
x = 624