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

Answer 1

See the entire solution process below:

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
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Answer 2

To solve the equation 19.65x + 2.2(x - 6.05) = 255.65, first distribute 2.2 to (x - 6.05), then combine like terms. This yields 19.65x + 2.2x - 2.2(6.05) = 255.65. Simplify further to get 19.65x + 2.2x - 13.31 = 255.65. Combine like terms again to obtain 21.85x - 13.31 = 255.65. Next, isolate the variable by adding 13.31 to both sides to get 21.85x = 268.96. Finally, divide both sides by 21.85 to solve for x, resulting in x ≈ 12.31.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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