Question

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

Answer 1

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

Explanation:

Answer 2

`\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 ♡