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# What is 400+x=200x?

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What is 400+x=200x?

Apr 16, 2022

#2
+9461
+1

$$\begin{array}{rcl|c} 400+x&=&200x\\ 400+x-x&=&200x-x&\text{subtract }x\\ 400 &=& 199x\\ \dfrac{400}{199} &=& x&\text{divide by }199\\ x &=& \dfrac{400}{199} &\text{exchange sides} \end{array}$$

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Apr 16, 2022

#1
+71
0

We can isolate the x terms on one side.

201x=0

Then,

we divide by 201

x=0

So,

x=0

Apr 16, 2022
#3
+9461
0

You can check your answer by substituting $$x = 0$$ into the original equation:

$$\begin{array}{rcl} \text{LHS} &=& 400 + 0\\ &=& 400\\ \text{RHS} &=& 200x\\ &=& 200(0)\\ &=& 0\\ &\neq& \text{LHS} \end{array}$$

Then $$x= 0$$ does not satisfy the equation, and hence your answer is not correct.

MaxWong  Apr 16, 2022
#2
+9461
+1
$$\begin{array}{rcl|c} 400+x&=&200x\\ 400+x-x&=&200x-x&\text{subtract }x\\ 400 &=& 199x\\ \dfrac{400}{199} &=& x&\text{divide by }199\\ x &=& \dfrac{400}{199} &\text{exchange sides} \end{array}$$