Question

`- (17)/(6) x + 1 = (7)/(6) - (5)/(2) x`

can someone help me solve this?
and also explain how you got the answer too
thank you

Answer 1

`-(17)/(6)x+1=(7)/(6)-(5)/(2)x\\\\\text{Most people do not like fractions. Well, let's get rid of them.}\\\\\text{Find the common denominator.... It's 6 :)}.\\\\\text{Multiply both sides of the equation by 6:}\\\\6\!\!\!\!\diagup^1\cdot\left(-(17)/(6\!\!\!\!\diagup_1)x\right)+6\cdot1=6\!\!\!\!\diagup^1\cdot(7)/(6\!\!\!\!\diagup_1)-6\!\!\!\!\diagup^3\cdot(5)/(2\!\!\!\!\diagup_1)x\\\\-17x+6=7-3\cdot5x\qquad\text{subtract 6 from both sides}`

`-17x=1-15x\qquad\text{add 15x to both sides}\\\\-2x=1\qquad\text{divide both sides by (-2)}\\\\\boxed{x=-(1)/(2)}`