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Hallar el valor de x en 3(x-2)+4=x-5

User GuyGood
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2 Answers

3 votes

Answer:

exact form 3/2 decimal form 1.5 mixed number form 1 1/2

Explanation:

User Jasjeet
by
7.1k points
4 votes

Answer:


\huge{ \bold{ \boxed{ \tt{x = - (3)/(2) }}}}


\underline{ \underline{ \sf{Question}}} :

  • 3 ( x - 2 ) + 4 = x - 5


\underline{ \underline{ \sf{To \: find}}} :

  • the value of x


\text{Given \: Equation : \: 3(x - 2) + 4 = x - 5}

You must distribute first ! In this equation , you have the distributive property on left hand side of the equation. You must first get rid of the parentheses.


\text{3 × \: x - 3× 2 + 4 = x - 5}


\text{3x - 6 + 4 = x - 5}

On the left hand side , you have two numbers : - 6 and 4. Remember that ' The negative and positive numbers are subtracted but posses the sign of the bigger number. '


\sf{3x - 2 = x - 5}

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

Similarly , move 2 to right hand side and change it's sign.


\sf{3x - x = - 5 + 2}

On the left hand side , you have like terms. Combine the like terms : 3x - x = 2x


\sf{2x = - 5 + 2}

On the right hand side , - 5 + 2 = -3


\sf{2x = - 3}

Divide both sides by 2


\sf{ (2x)/(2) = - (3)/(2) }


\boxed{\sf{x = - (3)/(2) }}

-----------------------------------------------------------------

✏ CHECK :


\text{3(x - 2) + 4 = x - 5}

Substitute
\sf{ - (3)/(2)} for x into the original equation. And simplify !


\sf{3( - (3)/(2) - 2) + 4 = - (3)/(2) - 5}


\sf{3( ( - 3 - 2 * 2)/(2) ) + 4 = ( - 3 - 5 * 2)/(2)}


\sf{3( ( - 3 - 4)/(2) ) + 4 = ( - 3 - 10)/(2)}


\sf{3( ( - 7)/(2) ) + 4 = ( - 13)/(2)}


\sf{ ( - 21)/(2) + 4 = ( - 13)/(2)}


\sf{ ( - 21 + 4 * 2)/(2) = ( - 13)/(2)}


\sf{ ( - 21 + 8)/(2) = ( - 13)/(2)}


\sf{ ( - 13)/(2) = ( - 13)/(2)}

Since both sides are equal , x =
\boxed{ - \sf{ ( 3)/(2) }} is the correct answer.

And we're done !!

Hope I helped!

Have a wonderful day ! ツ

~TheAnimeGirl ♡

User Roslyn
by
7.4k points