Question

Solve for x: 6x-4 over 3+2x=5/6

Answer 1

`Domain:\\\\3+2x\\eq0\to x\\eq-1.5\\\\(6x-4)/(3+2x)=(5)/(6)\qquad\text{cross multiply}\\\\6(6x-4)=5(3+2x)\qquad\text{use distributive property}\\\\(6)(6x)+(6)(-4)=(5)(3)+(5)(2x)\\\\36x-24=15+10x\qquad\text{add 24 to both sides}\\\\36x=39+10x\qquad\text{subtract 10x from both sides}\\\\26x=39\qquad\text{divide both sides by 26}\\\\x=(39)/(26)\\\\x=(39:13)/(26:13)\\\\\boxed{x=(3)/(2)}\in D`