Question

solve and check the equation.
15b - 6 = 8b - 3b + 14

Answer 1

15b-6=5b+14
collect like terms
15b-5b=14+6
10b=20
divide both sides by 10
10b/10=20/10
b=2

Answer 2

We have
\[15b - 6 = 8b - 3b + 14\]
Let's simplify the right hand side, combine the like terms
\[15b-6=5b+14\]
add 6 to both the sides
\[15b=5b+14+6\]
\[15b=5b+20\]
subtract both sides by 5b
\[15b-5b=20\]
\[10b=20\]
Divide both sides by 10
\[b=20/10\]
we get
\[b=2\]
now to check this, put b=2 in the original equation and see if you get the same value both sides. If you get then we're right otherwise we're wrong. Will you check this?