# How do you solve #27- 11x = x - 33#?

##### 1 Answer

#### Explanation:

**You want the answer to be of the form #x=?#**

**So, start by "undoing" the part of the equation furthest away from the variable: in this case, #+27# and #-33# are furthest away from the #x# on both sides**

**1. For this explanation, we will "undo" the #-33# on both sides**

**2. Then collect like terms**

*It should be noted that it is possible to start by "undoing" the #+27# in a similar way*

**Now we want to have all the #x#'s on one side so that it can be of the form #x=?#**

**3. "Undo" the #-11x# on both sides**

**4. Collect like terms**

**To "solve" the equation the answer must be a "singular" #x=?#**

**5. "Undo" the #12*x# on both sides**

**6. Collect like terms and cancel appropriately**

**Therefore**

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** *Footnote***

In this context, **"undo"** means to **"do the opposite of"**, so to **"undo"** a **on both sides** of the equation in order to maintain its balance.

*Eg: if 1kg was to be added to one side of a balance scale, the same weight must be added to the other side so that the balance is maintained.*