## dannielle 3 years ago What is the solution to the rational equation 4/3+3/x+5=21/3x+15 ?

1. henkjan

4/3+3/x+5 = 21/3x + 15 4/3+5 + 3/x = 7/x + 15 4/3+5-15 = 7/x+3/x -8 - 2/3 = 10/x x = 10/(-8-2/3)

2. TracysaurusRex

$4/3+3/x+5=21/3x+15$ First you simplify the equation by combining like terms and simplifying fractions: $6 \frac{1}{3} +\frac{3}{x}=\frac{7}{x}+15$ Then you use the subtraction property of equality and subtract $(\frac{3}{x}+15)$from both sides and get: $-8\frac{1}{3}=\frac{4}{x}$ When you multiply both sides by x you get: $-\frac{25}{3}x=4$ Divide both sides by the coefficient of x to get that $x=\frac{12}{25}$ :)

3. jhonyy9

4/3 + 3/(x+5) =21/(3x+15) 4(x+5)+9 21 --------- = --------- 3(x+5) 3(x+5) 4x+20+9=21 4x+29=21 4x=21-29 4x=-8 x=-8/4 x=-2