Rewrite the equation so that none of the values have a denominator and then solve the equation.1/3x - 5 = 5/2x - 2/3One strategy for solving the equation above is to a. determine the least common denominator (LCD) of all fractions in the equation, b. then multiply the entire quantity on BOTH sides of the equation by that (LCD), C. then isolate the variable to determine the value of x that makes the original equation a true statement.
Accepted Solution
A:
Answer:The answer in the explanationStep-by-step explanation:we have[tex]\frac{1}{3}x-5=\frac{5}{2}x-\frac{2}{3}[/tex]Step 1Determine the least common denominator (LCD) of all fractions in the equationThe LCD is equal to[tex](3)(2)=6[/tex]Step 2Multiply both sides of the equation by 6 to remove the fractions[tex]6[\frac{1}{3}x-5]=6[\frac{5}{2}x-\frac{2}{3}][/tex][tex]2x-30=15x-4[/tex]Step 3Solve for xGroup terms[tex]15x-2x=-30+4[/tex]Combine like terms[tex]13x=-26[/tex][tex]x=-2[/tex]