Question

Equations with variables on both sides
1/3x - 9 = 14x - 7 - 13x

Answer 1

Answer: x=-3

Explanation:

simplify: 1/3x-9=x-7

combine like terms: -2/3x=2

solve for x: so x= -3

Answer 2

So, after solving the equation
`(1)/(3)x-9=14x-7-13x` we get value of x = -3

Explanation:

We need to find the value of variable x in the equation:
`(1)/(3)x-9=14x-7-13x`

Solving, the equation and to find the value of x

Combining like terms: (terms having x are like terms, other constants are like terms)

`(1)/(3)x-9=14x-7-13x \\(1)/(3)x-14x+13x=-7+9`

Now taking LCM on left side:

`(1)/(3)x-14x+13x=-7+9 \\(1x*1-14x*3+13x*3)/(3)=2\\(1x-42x+39x)/(3)=2\\(-2x)/(3)=2`

Multiplying both sides by 3

`(-2x)/(3)*3=2*3\\-2x=6`

Dividing both sides by -2

`(-2x)/(-2)=(6)/(-2)\\x =-3`

So, after solving the equation
`(1)/(3)x-9=14x-7-13x` we get value of x = -3