Question

Solve each equation. Check your solution. –3b + 7 = –15 + 2b

Answer 1

Exact form: b= 22/5

Decimal form: b= 4.4

Mixed number form: b= 4 2/5

Answer 2

Answer:

Solution:

$b = \frac{22}{5?}$

Step-by-step explanation:

Rearrange terms:

$- 3b + 7 = - 15 + 2b$

$- 3b + 7 = 2b - 15$

subtract 7 from both sides of the equation:

$- 3b + 7 = 2b - 15$

simplify:

subtract the numbers

⬇️

⬇️

$- 3b = 2b - 22$

subtract ⬇️ from both sides of the equation

$2b$

$- 3b = 2b - 22$

$- 3b - 2b = 2b - 22 - 2b$

simplify:

⬇️combine like terms

⬇️combine like terms

$- 5b = - 22$

divide both sides of the equation by the same term:

$- 5b = - 22$

$\frac{ - 5b}{ - 5?} = \frac{ - 22}{ - 5?}$

simplify:

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

⬇️divide the numbers

$b = \frac{22}{?5}$