Respuesta :

5(x+1)=3x−9

Step 1: Simplify both sides of the equation.

5(x+1)=3x−9

(5)(x)+(5)(1)=3x+−9(Distribute)

5x+5=3x+−9

5x+5=3x−9

Step 2: Subtract 3x from both sides.

5x+5−3x=3x−9−3x

2x+5=−9

Step 3: Subtract 5 from both sides.

2x+5−5=−9−5

2x=−14

Step 4: Divide both sides by 2.

2x

2

=

−14

2

x=−7

Answer:

x = - 7

Step-by-step explanation:

[tex]5(x+1)=3x-9[/tex]

Expand the terms in the bracket

That's

[tex]5x + 5 = 3x - 9[/tex]

Subtract 3x from both sides of the equation

[tex]5x - 3x + 5 = 3x - 3x - 9 \\ 2x + 5 = - 9[/tex]

Subtract 5 from both sides of the equation

[tex]2x + 5 - 5 = - 9 - 5 \\ 2x = - 14[/tex]

Divide both sides by 2

[tex] \frac{2x}{2} = - \frac{14}{2} \\ [/tex]

We have the final answer as

x = - 7

Hope this helps you

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