Question

X over 4 + 3/5 is equal to 3x over 5 - 2 ​

Answer 1

`\huge\boxed{x=(52)/(7)=7(3)/(7)}`

Explanation:

`(x)/(4)+(3)/(5)=(3x)/(5)-2\qquad\text{multiply both sides by}\ LCD=20\\\\20\cdot(x)/(4)+20\cdot(3)/(5)=20\cdot(3x)/(5)-20\cdot2\\\\5\cdot x+4\cdot3=4\cdot3x-40\\\\5x+12=12x-40\qquad\text{subtract 12 from both sides}\\\\5x+12-12=12x-40-12\\\\5x=12x-52\qquad\text{subtract}\ 12x\ \text{from both sides}\\\\5x-12x=12x-12x-52\\\\-7x=-52\qquad\text{divide botgh sides by (-7)}\\\\(-7x)/(-7)=(-52)/(-7)\\\\x=(52)/(7)`