Transcript Variables on Both Sides of the Equation

Variables on Both Sides of
the Equation
3-6-1
Moving terms
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When a one step
equation is solved,
essentially the
constants are sorted
to one side of the
equation and the
variable to the
other.
Think of this as
“moving” the
constant 8 to the
other side of the
equation.
x  8  12
8
x  16
8
Moving terms
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“Move” terms involving
variables the same way.
Either the 3x or the 5x could
be moved.
Choose the term containing
the variable with the smaller
coefficient.
This doesn’t matter now, but
will make things easier in
other equations.
Now there is only a two step
equation to solve.
3x  8  5 x  2
3 x
-3x
-8  2x  2
-2
-2
-10  2x
-10 2 x

2
2
-5  x
Steps
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To solve equations with variables on both
sides of the equal sign,
1- Distribute.
2- Combine like terms.
3- Move all the variables to the same side.
4- Solve the two step equation.
– Subtract or add
– Divide.
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Every step isn’t needed in every equation.
Steps
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To solve equations with
variables on both sides of the
2(3 x  8)  5  7 x  8  (2  x)  8 x
equal sign,
1- Distribute.
6 x  16  5  7 x  8  2  x  8 x
2- Combine like terms.
13x  21  9 x  6
3- Move all the variables to  9 x
 9x
the same side.
4 x  21  6
4- Solve the two step
equation.
 21  21
– Subtract or add
– Divide.
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Every step isn’t needed in
every equation.
4 x  27
x  27 4  6 3 4