Question

Solve the equation for x by combining like terms first. 3x-10+5x=2x-13

Answer 1

Step-by-step explanation:

$\tt{3x - 10 + 5x = 2x - 13}$

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.

⟼ $\tt{3x + 5x - 10 = 2x - 13}$

⟼ $\tt{8x - 10 = 2x - 13}$

Transpose 2x to left hand side and change it's sign.

Similarly , Transpose 10 to right hand side and change it's sign.

⟼ $\tt{8x - 2x = - 13 + 10}$

⟼ $\tt{6x = - 3}$

Divide both sides by 6

⟼ $\tt{ \frac{6x}{6} = - \frac{3}{6}}$

⟼ $\tt{x = - \frac{1}{2}}$

$\red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt {x = - \frac{1}{2}}}}}}} }$

Hope I helped ! ♡

Have a wonderful day / night ! ㋡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁