Question

Rewrite the equation so that none of the values have a denominator and then solve the equation.

Answer 1

Answer:

The answer in the explanation

Step-by-step explanation:

we have

$\frac{1}{3}x-5=\frac{5}{2}x-\frac{2}{3}$

Step 1

Determine the least common denominator (LCD) of all fractions in the equation

The LCD is equal to

$(3)(2)=6$

Step 2

Multiply both sides of the equation by 6 to remove the fractions

$6[\frac{1}{3}x-5]=6[\frac{5}{2}x-\frac{2}{3}]$

$2x-30=15x-4$

Step 3

Solve for x

Group terms

$15x-2x=-30+4$

Combine like terms

$13x=-26$

$x=-2$