Question

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

Answer 1

Answer:

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

Step-by-step explanation:

Answer 2

Answer:

$\huge{ \bold{ \boxed{ \tt{x = - \frac{3}{2} }}}}$

☯$\underline{ \underline{ \sf{Question}}} :$

• 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

⇢$\sf{ \frac{2x}{2} = - \frac{3}{2} }$

⇢$\boxed{\sf{x = - \frac{3}{2} }}$

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✏ CHECK :

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

Substitute $\sf{ - \frac{3}{2}}$ for x into the original equation. And simplify !

⇾ $\sf{3( - \frac{3}{2} - 2) + 4 = - \frac{3}{2} - 5}$

⇾$\sf{3( \frac{ - 3 - 2 \times 2}{2} ) + 4 = \frac{ - 3 - 5 \times 2}{2}}$

⇾$\sf{3( \frac{ - 3 - 4}{2} ) + 4 = \frac{ - 3 - 10}{2}}$

⇾$\sf{3( \frac{ - 7}{2} ) + 4 = \frac{ - 13}{2}}$

⇾$\sf{ \frac{ - 21}{2} + 4 = \frac{ - 13}{2}}$

⇾$\sf{ \frac{ - 21 + 4 \times 2}{2} = \frac{ - 13}{2}}$

⇾$\sf{ \frac{ - 21 + 8}{2} = \frac{ - 13}{2}}$

⇾$\sf{ \frac{ - 13}{2} = \frac{ - 13}{2}}$

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

And we're done !!

Hope I helped!

Have a wonderful day ! ツ

~TheAnimeGirl ♡