How do you solve #19.65x+2.2(x-6.05)=255.65#?

1 Answer
Jan 24, 2017

Answer:

See the entire solution process below:

Explanation:

First, expand the term in parenthesis:

#19.65x + (2.2 xx x) - (2.2 xx 6.05) = 255.65#

#19.65x + 2.2x - 13.31 = 255.65#

Next, combine like terms:

#(19.65 + 2.2)x - 13.31 = 255.65#

#21.85x - 13.31 = 255.65#

Then, add #color(red)(13.31)# to each side of the equation to isolate the #x# term while keeping the equation balanced:

#21.85x - 13.31 + color(red)(13.31) = 255.65 + color(red)(13.31)#

#21.85x - 0 = 268.96#

#21.85x = 268.96#

Now, divide each side of the equation by #color(red)(21.85)# to solve for #x# while keeping the equation balanced:

#(21.85x)/color(red)(21.85) = 268.96/color(red)(21.85)#

#(color(red)(cancel(color(black)(21.85)))x)/cancel(color(red)(21.85)) = 12.31#

#x = 12.31# rounded to the nearest hundredth