Question 189018
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Solving for "x"


First, we combine similar terms. Put to the left those with variable (With x), and to the right those constants.


*Remember to change "signs" when you move.


Given: <font color=blue>10x + 9 = 5x +29</font>
{{{10x-5x=29-9}}}
Perform operations indicated:
{{{5x=20}}}
Divide both terms by "5" to isolate x:
{{{cross(5)x/cross(5)=cross(20)4/cross(5)}}}
<font color=red>x=4</font>, Answer


To check, substitute x to the given eqn:
{{{10(4)+9=5(4)+29}}}
{{{40+9=20+29}}}
{{{49=49}}}, good



Next, <font color=blue>10x -13 = 7x +2</font>
Combine similar terms:
{{{10x-7x=2+13}}}
Perform operations indicated (Add, Substract, etc):
{{{3x=15}}}
Divide 3 both terms to isolate x:
{{{cross(3)x/cross(3)=cross(15)5/cross(3)}}}
<font color=red>x=5</font>


Check by substituting to the given eqn:
{{{10(5)-13=7(5)+2}}}
{{{50-13=35+2}}}
{{{37=37}}}, good


Thank you,
Jojo
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