Answer:
x = [tex]\frac{21}{32}[/tex]
Step-by-step explanation:
Given
[tex]\frac{3}{4}[/tex] - x = [tex]\frac{x}{7}[/tex]
Multiply through by 28 ( the LCM of 4 and 7 ) to clear the fractions
21 - 28x = 4x ( subtract 4x from both sides )
21 - 32x = 0 ( subtract 21 from both sides )
- 32x = - 21 ( divide both sides by - 32 )
x = [tex]\frac{21}{32}[/tex]