Respuesta :

Answer:

6.444.... or 6&4/9

Step-by-step explanation:

3(x-5)+2(3x+1)=45<------distributive property

3x-15+6x+2=45    <------combine like terms

9x-13=45              <------addition property of equality

9x=58                   <------division property of equality

x=6.444...

Answer:

The value of the equation for x is [tex]x=\frac{58}{9}[/tex] .  

Step-by-step explanation:

Consider the provided equation.

[tex]3(x - 5) + 2 (3x + 1) = 45[/tex]

Open the parentheses.

[tex]3x - 15 + 6x + 2 = 45[/tex]

Now add the like terms.

[tex]3x +6x- 15+ 2 = 45[/tex]

[tex]9x- 13 = 45[/tex]

Add 13 from both sides.

[tex]9x- 13+13= 45+13[/tex]

[tex]9x= 58[/tex]

Divide both the sides by 9.

[tex]\frac{9x}{9}=\frac{58}{9}[/tex]

[tex]x=\frac{58}{9}[/tex]

Hence, the value of the equation for x is [tex]x=\frac{58}{9}[/tex] .