Answer:
[tex]x=-24[/tex]
Step-by-step explanation:
[tex]\frac{x}{12} +\frac{1}{3} =-\frac{5}{3}[/tex][tex]=\frac{x}{12}[/tex]
Subtract 1/3 from both sides;
[tex]\frac{x}{12} +\frac{1}{3} -\frac{1}{3} =-\frac{5}{3}-\frac{1}{3}[/tex]
Simplify;
[tex]\frac{x}{12} +\frac{1}{3} -\frac{1}{3} =-\frac{5}{3}-\frac{1}{3}[/tex]
Simplify;
[tex]\frac{x}{12} +\frac{1}{3} -\frac{1}{3}[/tex]
Add similar elements;[tex]\frac{1}{3} -\frac{1}{3} =0[/tex]
[tex]=\frac{x}{12}[/tex]
Simplify; [tex]-\frac{5}{3} -\frac{1}{3}[/tex]
=[tex]\frac{-5-1}{3}[/tex]
Subtract the numbers;-5-1=-6
[tex]\frac{-6}{3}[/tex]
Apply fraction rule;
[tex]-\frac{6}{3}[/tex]
Divide the numbers [tex]\frac{6}{3}[/tex]
=-2
[tex]\frac{x}{12} =-2[/tex]
Multiply both sides by 12
[tex]\frac{12x}{12} =12(-2)[/tex]
Simplify;
[tex]x=-24[/tex]
