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Single Step Linear Equations
How to Find x
© S. D./18
First, Lets make a Problem!
© S. D./18
2𝑥 + 3 = 4𝑥 + 5
To make things easier, lets draw a line.
© S. D./18
2𝑥 + 3 = 4𝑥 + 5
Next, we need to cancel out our x’s!
© S. D./18
2𝑥 + 3 = 4𝑥 + 5
But first we need to figure
out HOW to cancel out the
number
You always move the
SMALLER x to the BIGGER x
This is an x Number This is an x Number
How to cancel out an x
© S. D./18
You have to cancel it out by Subtracting or adding it by itself
+5x -5x
How would you cancel out 5x? -5x?
The opposite of the number
will cancel it out
-5x +5x
OPPOSITES
3 = 2𝑥 + 5
Now, Lets try what you learned!
© S. D./18
2𝑥 + 3 = 4𝑥 + 5
−2𝑥
Now, what you do
to one side you do
to the other,
ALWAYS! −2𝑥
STEP 1
Now, all numbers have to get to the OTHER side
© S. D./18
2𝑥 + 3 = 4𝑥 + 5
−2𝑥 −2𝑥
3 = 2𝑥 + 5
STEP 1 STEP 2
We will do the
same thing we did
with the x’s
When it comes to
numbers,
sometimes
negatives will
happen. They
have to be on the
OPPOSITE side of
the x’s
−5
Now, Do the same
thing to the other
side
−5
−2 = 2𝑥
Now divide x.
© S. D./18
2𝑥 + 3 = 4𝑥 + 5
−2𝑥 −2𝑥
3 = 2𝑥 + 5
STEP 1 STEP 2
−5−5
−2 = 2𝑥
STEP 3
Now we need to divide
the x so it becomes 1x
−1 = 𝑥 Notice how I only wrote
‘x’ and not ‘1x’ when an
x becomes 1x the one
is not needed.
AND FINALLY
𝑥 = −1
Flip around your final answer so it starts with “x=“
LETS MAKE A PROBLEM!
(Click me)
© S. D./18
© S. D./18
__𝑥 + __ = __𝑥 + __

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Single/Triple step linear equations [See Description]

  • 1. Single Step Linear Equations How to Find x © S. D./18
  • 2. First, Lets make a Problem! © S. D./18 2𝑥 + 3 = 4𝑥 + 5
  • 3. To make things easier, lets draw a line. © S. D./18 2𝑥 + 3 = 4𝑥 + 5
  • 4. Next, we need to cancel out our x’s! © S. D./18 2𝑥 + 3 = 4𝑥 + 5 But first we need to figure out HOW to cancel out the number You always move the SMALLER x to the BIGGER x This is an x Number This is an x Number
  • 5. How to cancel out an x © S. D./18 You have to cancel it out by Subtracting or adding it by itself +5x -5x How would you cancel out 5x? -5x? The opposite of the number will cancel it out -5x +5x OPPOSITES
  • 6. 3 = 2𝑥 + 5 Now, Lets try what you learned! © S. D./18 2𝑥 + 3 = 4𝑥 + 5 −2𝑥 Now, what you do to one side you do to the other, ALWAYS! −2𝑥 STEP 1
  • 7. Now, all numbers have to get to the OTHER side © S. D./18 2𝑥 + 3 = 4𝑥 + 5 −2𝑥 −2𝑥 3 = 2𝑥 + 5 STEP 1 STEP 2 We will do the same thing we did with the x’s When it comes to numbers, sometimes negatives will happen. They have to be on the OPPOSITE side of the x’s −5 Now, Do the same thing to the other side −5 −2 = 2𝑥
  • 8. Now divide x. © S. D./18 2𝑥 + 3 = 4𝑥 + 5 −2𝑥 −2𝑥 3 = 2𝑥 + 5 STEP 1 STEP 2 −5−5 −2 = 2𝑥 STEP 3 Now we need to divide the x so it becomes 1x −1 = 𝑥 Notice how I only wrote ‘x’ and not ‘1x’ when an x becomes 1x the one is not needed.
  • 9. AND FINALLY 𝑥 = −1 Flip around your final answer so it starts with “x=“ LETS MAKE A PROBLEM! (Click me) © S. D./18
  • 10. © S. D./18 __𝑥 + __ = __𝑥 + __