Answer:
[tex]x = -\frac{12}{5}[/tex]
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.
[tex]\frac{21-4x}{9} +\frac{8x+15}{3} = 2 \\21-4x + 3(8x + 15) =18 \\[/tex]
2) Distribute the 3 to 8x and 15. Then, combine like terms.
[tex]21-4x + 24x + 45 = 18 \\66 + 20x = 18[/tex]
3) Move the 66 to the other side, subtracting 18 by 66, then divide each side by 20 to finally isolate x.
[tex]20x = -48\\x = -\frac{48}{20} \\x =- \frac{12}{5}[/tex]
Thus, [tex]x = -\frac{12}{5}[/tex].
