Question

Solve each equation. Check your solution.

–3b + 7 = –15 + 2b

Answer 1

Solution:

`b = (22)/(5?)`

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`

`( - 5b)/( - 5?) = ( - 22)/( - 5?)`

simplify:

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

⬇️divide the numbers

`b = (22)/(?5)`

Answer 2

Exact form: b= 22/5

Decimal form: b= 4.4

Mixed number form: b= 4 2/5