Question

Solve the equation: }{9}" alt="\frac{21 - 4x}{9}" align="absmiddle" class="latex-formula"> + $\frac{8x + 15}{3}$ = 2

Answer 1

Answer:

$x = -\frac{12}{5}$

Step-by-step explanation:

To solve the equation, isolate x. Whatever you do to isolate x one on side, you must do to the other.  

1) Multiply both sides by 9 to get rid of the fractions.  

$\frac{21-4x}{9} +\frac{8x+15}{3} = 2 \\21-4x + 3(8x + 15) =18$

2) Distribute the 3 to 8x and 15. Then, combine like terms.

$21-4x + 24x + 45 = 18 \\66 + 20x = 18$

3) Move the 66 to the other side, subtracting 18 by 66, then divide each side by 20 to finally isolate x.

$20x = -48\\x = -\frac{48}{20} \\x =- \frac{12}{5}$

Thus, $x = -\frac{12}{5}$.