Answer :
Solving
an equation means finding a value of a variable that make the equation true.
This value is called the solution of the equation. A mathematical equation is
just like a balanced equation. Both sides of the equation should be equal at
all times. Whatever we do to one side, has to be done on the opposite side.
[tex]300-50x=150+20x[/tex]
[tex] 300=150+20x+50x [/tex] [tex]Add \ 50x \ to \ both \ sides[/tex]
[tex]300=150+70x [/tex]
[tex]300-150=70x[/tex] [tex]Subtract \ 150 \ from \ both \ sides[/tex]
[tex] 150=70x [/tex]
[tex] \dfrac{150}{70}=x [/tex] [tex]Divide \ both \ sides \ by \ 70[/tex]
[tex]x= \dfrac{15}{7} [/tex]
[tex]300-50x=150+20x[/tex]
[tex] 300=150+20x+50x [/tex] [tex]Add \ 50x \ to \ both \ sides[/tex]
[tex]300=150+70x [/tex]
[tex]300-150=70x[/tex] [tex]Subtract \ 150 \ from \ both \ sides[/tex]
[tex] 150=70x [/tex]
[tex] \dfrac{150}{70}=x [/tex] [tex]Divide \ both \ sides \ by \ 70[/tex]
[tex]x= \dfrac{15}{7} [/tex]