Respuesta :

Answer:

9

Step-by-step explanation:

Step 1:

2x - ( 5 - x ) = 13 + x      Equation

Step 2:

2x - 5 + x = 13 + x     Open the parenthises

Step 3:

3x - 5 = 13 + x      Add

Step 4:

3x = 18 + x    Add 5 on both sides

Step 5:

2x = 18     Subtract x on both sides

Step 6:

18 ÷ 2     Divide

Answer:

x = 9

Hope This Helps :)

Answer:

[tex]\boxed {x = 9}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]2x - (5 - x) = 13 + x[/tex]

-To find the opposite of [tex]5 - x[/tex], find the opposite of each term:

[tex]2x - (5 - x) = 13 + x[/tex]

[tex]2x - 5 + x = 13 + x[/tex]

-Combine like terms:

[tex]2x - 5 + x = 13 + x[/tex]

[tex]3x - 5 = 13 + x[/tex]

-Take [tex]x[/tex] and subtract it from [tex]3x[/tex]:

[tex]3x - 5 - x = 13 + x - x[/tex]

[tex]2x - 5 = 13[/tex]

-Add [tex]5[/tex] on both sides:

[tex]2x - 5 + 5 = 13 + 5[/tex]

[tex]2x = 18[/tex]

-Divide both sides by [tex]2[/tex]:

[tex]\frac{2x}{2} = \frac{18}{2}[/tex]

[tex]\boxed {x = 9}[/tex]

So, therefore, the value of [tex]x[/tex] is [tex]9[/tex].

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