Question

Solve for equation for ex in term of c 2/3(x+1/2) - 1/4=5/2

Answer 1

`(2)/(3)\left(x+(1)/(2)\right)-(1)/(4)=(5)/(2)\qquad|\text{use distributive property}\\\\(2)/(3)x+(2)/(3)\cdot(1)/(2)-(1)/(4)=(5)/(2)\\\\(2)/(3)x+(1)/(3)-(1)/(4)=(5)/(2)\qquad|\text{multiply both sides by LCM(2,\ 3,\ 4)=12}\\\\12\cdot(2)/(3)x+12\cdot(1)/(3)-12\cdot(1)/(4)=12\cdot(5)/(2)\\\\4\cdot2x+4-3=6\cdot5\\\\8x+1=30\qquad|\text{subtract 1 from both sides}\\\\8x=29\qquad|\text{divide both sides by 8}\\\\x=(29)/(8)`