# Setting Equal to and Solving

#### noncentz

Good Day to you all,

This is my first post so I hope this legible and concise ... I will try my best.

I have a problem where I have to set 2 equations equal to each other and solve for the variable.

.66X - 396,000
------------------ =
1,066,333

.66X - 1,108,800
---------------
233,000

OR (.66x - 396000 / 1066333) = (.66X - 1108800 / 233000)

Solve For X

.............. I know this is quite simple for you all, I hope I am not wasting your time but I am at a loss on this :/

Mostly I am confusing the order of operations so a breakdown would be awesomesauce.

Namaste'

Antony

#### masters

MHF Helper
Good Day to you all,

This is my first post so I hope this legible and concise ... I will try my best.

I have a problem where I have to set 2 equations equal to each other and solve for the variable.

.66X - 396,000
------------------ =
1,066,333

.66X - 1,108,800
---------------
233,000

OR (.66x - 396000 / 1066333) = (.66X - 1108800 / 233000)

Solve For X

.............. I know this is quite simple for you all, I hope I am not wasting your time but I am at a loss on this :/

Mostly I am confusing the order of operations so a breakdown would be awesomesauce.

Namaste'

Antony
Hi noncentz,

Here we go:

$$\displaystyle \frac{.66x-396000}{1066333}=\frac{.66x-1108800}{233000}$$

First, I would cross multiply to get:

$$\displaystyle 1066333(.66x-1108800)=233000(.66x-396000)$$

Expand by distribution.

$$\displaystyle 703779.98x-(1.18 \times 10^{12})=153780x-(9.23 \times 10^{10})$$

Now, let's combine the x terms by subtracting 153780x from each side.

$$\displaystyle 549999.98x=(1.18 \times 10^{12})-(9.23 \times 10^{10})$$

Now, divide everyting by 549999.98.

$$\displaystyle \frac{(1.18 \times 10^{12})-(9.23 \times 10^{10})}{549999.98}$$

The rest is up to you.

#### noncentz

HAHA!!! My answer... you sir are a god.