Respuesta :

Answer:

The final value of  [tex]b=\frac{29}{11}[/tex]  .

Step-by-step explanation:

Given:

[tex]2b + 8 - 5b + 3 = -13 + 8b - 5[/tex]

We have to find the value of [tex]b.[/tex]

[tex]2b + 8 - 5b + 3 = -13 + 8b - 5[/tex]

Steps to be followed:

  • Step 1:Bring all the variables one left side of the equation.

Subtract 8b both side.

[tex]2b + 8 - 5b + 3-8b = -13 + 8b - 5-8b[/tex]

[tex]2b - 5b -8b+ 3 +8= -13 - 5[/tex]

  • Step 2:Add the variable and constants on each side.

[tex]2b - 5b -8b+ 3 +8= -13 - 5[/tex]

[tex]-11b+11=-18[/tex]

  • Step 3:Subtract 11 on both side.

[tex]-11b+11=-18[/tex]

[tex]-11b+11-11=-18-11[/tex]

[tex]-11b=-29[/tex]

  • Step 4:Divide -11 on both sides of the equation.

[tex]-11b=-29[/tex]

[tex]b=\frac{-29}{-11} =\frac{29}{11}[/tex]

So the final value of b is 29/11.

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