Step-by-step explanation:
[tex] \tt{3x - 10 + 5x = 2x - 13}[/tex]
Combine like terms on left hand side. Like terms are those which have the same base. Only coefficients of like terms can be added or subtracted.
⟼ [tex] \tt{3x + 5x - 10 = 2x - 13}[/tex]
⟼ [tex] \tt{8x - 10 = 2x - 13}[/tex]
Transpose 2x to left hand side and change it's sign.
Similarly , Transpose 10 to right hand side and change it's sign.
⟼ [tex] \tt{8x - 2x = - 13 + 10}[/tex]
⟼ [tex] \tt{6x = - 3}[/tex]
Divide both sides by 6
⟼ [tex] \tt{ \frac{6x}{6} = - \frac{3}{6}} [/tex]
⟼ [tex] \tt{x = - \frac{1}{2}} [/tex]
[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt {x = - \frac{1}{2}}}}}}} }[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ㋡
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