Question 194407
Solve for X
1. 
{{{x/3}}} - 2 = 1
Add 2 to both sides:
{{{x/3}}}  = 1 + 2
{{{x/3}}} = 3
Multiply both sides by 3
x = 3(3)
x = 9
Check solution in original equation
:
;
2. 
{{{x/((x-2))}}} - {{{((x+1))/x}}} = {{{8/((x^2 - 2x))}}}
Factor the 3rd denominator
{{{x/((x-2))}}} - {{{((x+1))/x}}} = {{{8/(x(x-2))}}}
Multiply by the common denominator, namely x(x-2)
x(x-2)*{{{x/((x-2))}}} - x(x-2)*{{{((x+1))/x}}} = x(x-2)*{{{8/(x(x-2))}}}
Cancel the denominators and you have:
x(x) - (x-2)(x+1) = 8
FOIL
x^2 - (x^2 - x - 2) = 8
Remove the brackets, (change the signs)
x^2 - x^2 + x + 2 = 8
x = 8 - 2
x = 6
:
Check solution of x=6, in the original equation
:
:
3.
 {{{X^2 = 36}}}
Find the square root of both sides
x = +/-{{{sqrt(36)}}}
x = +6
and
x = -6
:
:
Did these steps make sense to you?