How do you solve 2b + 5 = b + 7?

Apr 21, 2016

$b = 2$

Explanation:

$2 b + 5 = b + 7$

$2 b - b = 7 - 5$

$b = 2$

Apr 21, 2016

$2 b + 5 = b + 7$
$2 b = b + 2$
$b = + 2$
$b = 2$

Explanation:

You need all of the '$b$'s on one side of the equals sign and the numbers on the other side. To cancel out a positive from the left side ($+ 5$) you need to minus it. You always do the same on the opposite side that you did on the original side.

FOR EXAMPLE.

$2 b + 5 = b + 7$

You would need to minus the five from both sides so....

$2 b + 0 = b + 2$

Then simply minus the '$b$' from the right side and the left side so the sum changes to:

$b + 0 = 0 b + 2$

Then you cancel out the zeros so it makes:

$b = 2$