Question 874573
Solve for X and describe each step:


1)4x-2=22


2)5x-7=3x+2



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Equation 1.)


{{{4x-2=22}}}



Get "4x" by itself, by adding "2" to both sides.


{{{4x-2+2=22+2}}}


The result from adding "2" to both sides:

{{{4x=24}}}

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Now get "x" by itself, by dividing both sides by "4".


{{{4x/4=24/4}}}


{{{x=6}}}


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Equation 2.)


{{{5x-7=3x+2}}}

Move the x's to one side either by subtracting "3x"from both sides OR by subtracting "5x" to both sides. However, if you use "5x" we will have to deal with "-2x", so lets subtract "3x" from both sides.

{{{5x-7-3x=3x+2-3x}}}

{{{2x-7=2}}}

Now that we got the x's to one side of the equation, we need to move -7 by adding 7 to both sides of the equation.

{{{2x-7+7=2+7}}}


{{{2x=9}}}

Next we need to get "x" by itself by dividing both sides by "2".

{{{2x/2=9/2}}}


{{{x=9/2}}}


or

{{{x=4.5}}}

or 

x=4 1/2