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]

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