How do you solve (x-1) /3 - (x-1) /2 = 6?

1 Answer
Feb 24, 2016

x = - 35

Explanation:

The easiest method to use to solve equations of this form is to use a common denominator, which in this case is 6. Multiply each individual term in the equation by 6 and then simplify the equation and solve for x.
6( ( x - 1)/3) - 6( ( x - 1 )/2) = 6( 6 )

2( x - 1 ) - 3( x - 1) = 36

2x - 2 -3x + 3 = 36

-x + 1 = 36

-x = 35

x = -35

Check this answer by substituting -35 in for x in the original equation.

(-35 -1)/3 - ( -35 -1)/2 = 6

-36/3 - -36/2 = 6

-12 + 18 = 6

6 = 6