How do you solve #13.7b-6.5=-2.3b+8.3#?

1 Answer
May 17, 2018

To solve for the variable #b#, we have to make it alone. The first thing we do is add #color(blue)(6.5)# to both sides of the equation:
#13.7b - 6.5 quadcolor(blue)(+quad6.5) = -2.3b + 8.3 quadcolor(blue)(+quad6.5)#

#13.7b = -2.3b + 14.8#

Now add #color(blue)(2.3)# to both sides:
#13.7b quadcolor(blue)(+2.3b) = -2.3b + 14.8 quadcolor(blue)(+2.3b)#

#16b = 14.8#

Finally, divide both sides by #color(blue)16# to get the final answer:
#(16b)/color(blue)16 = 14.8/color(blue)16#

Therefore,
#b = 0.3#

Hope this helps!