Question

How many solutions does 2(b+3)-17=3b-7+b



I really need help thanks!

Answer 1

Answer:

One solution

Step-by-step explanation:

Group like terms: $2\left(b+3\right)-17=3b+b-7$

$\mathrm{Add\:similar\:elements}\:3b+b=4b$: $2\left(b+3\right)-17=4b-7$

Simplify: $2b-11=4b-7$

Add 11 to both sides

Simplify: 2b=4b+4

Subtract 4b from both sides

Simplify: -2b=4

Divide

And finally, you get -2

Leave a brainliest if this helped!

Answer 2

Answer:

1 solution

Step-by-step explanation:

Since this is a first-order equation, with only the first power of b showing, the maximum number of solutions is 1.

If we actually "do the math," we get:

2b + 6 - 17 = 3b - 7 + b

which simplifies to 2b - 11 = 4b  - 7, or 2b = 4, which yields b = 2.

Again:  1 solution.