Question 205761
Solve for x:
{{{3/4 = 1-(3x-2)/(x+1)}}} First, simplify the right side. LCD is (x+1).
{{{3/4 = ((x+1)-(3x-2))/(x+1)}}} Now apply the LCD of 4(x+1) to both sides.
{{{3(x+1)/4(x+1) = 4((x+1)-(3x-2))/4(x+1)}}} Multiply both sides by 4(x+1) to clear the denominators.
{{{3(x+1) = 4((x+1)-(3x-2))}}} Simplify.
{{{3x+3 = 4x+4-12x+8}}}
{{{3x+3 = -8x+12}}} Add 8x to both sides.
{{{11x+3 = 12}}} Subtract 3 from both sides.
{{{11x = 9}}} Finally, divide both sides by 11.
{{{highlight(x = 9/11)}}}