Respuesta :

Exact form: b= 22/5

Decimal form: b= 4.4

Mixed number form: b= 4 2/5

Answer:

Solution:

[tex]b = \frac{22}{5?} [/tex]

Step-by-step explanation:

Rearrange terms:

[tex] - 3b + 7 = - 15 + 2b [/tex]

[tex] - 3b + 7 = 2b - 15[/tex]

subtract 7 from both sides of the equation:

[tex] - 3b + 7 = 2b - 15[/tex]

simplify:

subtract the numbers

⬇️

⬇️

[tex] - 3b = 2b - 22[/tex]

subtract ⬇️ from both sides of the equation

[tex]2b[/tex]

[tex] - 3b = 2b - 22[/tex]

[tex] - 3b - 2b = 2b - 22 - 2b[/tex]

simplify:

⬇️combine like terms

⬇️combine like terms

[tex] - 5b = - 22[/tex]

divide both sides of the equation by the same term:

[tex] - 5b = - 22[/tex]

[tex] \frac{ - 5b}{ - 5?} = \frac{ - 22}{ - 5?} [/tex]

simplify:

⬇️cancel terms that are in both the numerator and the denominator

⬇️divide the numbers

[tex]b = \frac{22}{?5} [/tex]

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