Question

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

Answer 1

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.

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

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`\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.

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`\tt{8x - 2x = - 13 + 10}`

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`\tt{6x = - 3}`

Divide both sides by 6

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`\tt{ (6x)/(6) = - (3)/(6)}`

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`\tt{x = - (1)/(2)}`

`\red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt {x = - (1)/(2)}}}}}} }`

Hope I helped ! ♡

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