Equations with a Variable on Both Sides

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Express 5 times the quantity 3x minus 2
Let’s pass out, unpack, or distribute
Multiply that 5 by both terms in parenthesis
Say, 15x plus negative 10, can’t you?
Let’s get those negatives done
Just think: negative sum
A negative sign before the quantity
An understood “1″

Chorus:
The same variable on both sides of the equation
Distribute quantities first, in each expression
Combine like terms ’til each side confirms
And says: “We’re pretty sure this side is simplified”
Isolate the variable, in conclusion
We use the inverse and inverse operations
Subtract or add from both sides
Then multiply or divide
And say: “Here’s some isolation, simplified”

Express 2 times the quantity 2x plus 5
minus the quantity x minus 9
4x plus 10 minus x plus 9
Hey, the like terms are gonna combine
I simplify the integers
By adding the 9 and the 10
Now combine the one’s with variables
It’s 3x + 19 man!

If the x is all real numbers
Then it will cancel and disappear
Yea we’ll be left with the true equation
6 equals 6 is my favorite cheer
Or it could lead to no solution
3 equals 22
No x works here…
Yea, no x here

I use the inverse operations
To get the variable to isolate
13 minus 2x equals 3x plus 8
Subtract the 8 from every side
Leaving 3x on the right
5 minus 2x equals 3x this time
Add 2x to both sides
5x now equals that 5
Now all we do is divide
x=1, simplified

Filed under Isolation Simplified |