Question

-6=1/4x-5 solve for xa1" title=" - 6 = 1 \frac{1}{4} x - 5" alt=" - 6 = 1 \frac{1}{4} x - 5" align="absmiddle" class="latex-formula">

Answer 1

$1\dfrac{1}{4}x-5=-6\ \ \ \ \ |\text{add 5 to both sides}\\\\1\dfrac{1}{4}x=-1\ \ \ \ |\text{change the mixed number to the improper fraction}\\\\\dfrac{5}{4}x=-1\ \ \ \ |\text{multiply both sides by 4}\\\\5x=-4\ \ \ \ \ \ |\text{divide both sides by 5}\\\\\boxed{x=-\dfrac{4}{5}}$