Answer:
x = 14
Step-by-step explanation:
Given
[tex]\frac{2}{5}[/tex] x - [tex]\frac{3}{2}[/tex] = [tex]\frac{1}{4}[/tex] x + [tex]\frac{3}{5}[/tex]
Multiply through by 20 ( the LCM of 5, 2 and 4 ) to clear the fractions
8x - 30 = 5x + 12 ( subtract 5x from both sides )
3x - 30 = 12 ( add 30 to both sides )
3x = 42 ( divide both sides by 3 )
x = 14
