The document provides step-by-step instructions for solving a single-step linear equation. It explains how to isolate the variable by subtracting like terms from both sides of the equation, canceling out variables, and then dividing both sides by the coefficient of the variable to solve for x. The example equation provided is 2x + 3 = 4x + 5, which is solved to get the final answer of x = -1.

1. Single Step Linear Equations
How to Find x
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2. First, Lets make a Problem!
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2𝑥 + 3 = 4𝑥 + 5

3. To make things easier, lets draw a line.
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2𝑥 + 3 = 4𝑥 + 5

4. Next, we need to cancel out our x’s!
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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
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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!
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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
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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)
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10. © S. D./18
__𝑥 + __ = __𝑥 + __