Question 150700
Can someone please help solve this problem 2/3=2-5x-3/x-1:
:
Assume you mean:
{{{2/3 = 2 - (5x-3)/(x-1)}}}
;
Multiply equation by the common denominator: 3(x-1); results:
2(x-1) = 2(3(x-1)) - 3(5x - 3)
:
do the multiplying to get rid of the brackets
2x - 2 = 6x - 6 - 15x + 9
:
group like terms, x's on the left, no. on the right
2x - 6x + 15x = -6 + 9 + 2
:
11x = 5
x = {{{5/11}}}
;
I'll let you check the solution in the original equation