Answer:
So, after solving the equation [tex]\frac{1}{3}x-9=14x-7-13x[/tex] we get value of x = -3
Step-by-step explanation:
We need to find the value of variable x in the equation: [tex]\frac{1}{3}x-9=14x-7-13x[/tex]
Solving, the equation and to find the value of x
Combining like terms: (terms having x are like terms, other constants are like terms)
[tex]\frac{1}{3}x-9=14x-7-13x \\\frac{1}{3}x-14x+13x=-7+9[/tex]
Now taking LCM on left side:
[tex]\frac{1}{3}x-14x+13x=-7+9 \\\frac{1x*1-14x*3+13x*3}{3}=2\\\frac{1x-42x+39x}{3}=2\\\frac{-2x}{3}=2[/tex]
Multiplying both sides by 3
[tex]\frac{-2x}{3}*3=2*3\\-2x=6[/tex]
Dividing both sides by -2
[tex]\frac{-2x}{-2}=\frac{6}{-2}\\x =-3[/tex]
So, after solving the equation [tex]\frac{1}{3}x-9=14x-7-13x[/tex] we get value of x = -3
