Answer:
[tex] x = 20 [/tex]
Step-by-step explanation:
[tex] \frac{3}{5}x - \frac{1}{4}x = 7 [/tex]
The LCD is 20, so multiply both sides of the equation by 20.
[tex] 20(\frac{3}{5}x - \frac{1}{4}x) = 20 \times 7 [/tex]
[tex] 4 \times 3x - 5 \times x = 140 [/tex]
[tex] 12x - 5x = 140 [/tex]
[tex] 7x = 140 [/tex]
[tex] x = 20 [/tex]