what is the solution to the equation 4(3x - 11) + 23 = 5x - 14 ?

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06-08-2017
Mathematics

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what is the solution to the equation 4(3x - 11) + 23 = 5x - 14 ?

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Equanimity Equanimity · Answer 1 · 2017-08-06T03:05:32+02:00

Hello there!

4(3x - 11) + 23 = 5x - 14

Apply the distributive property to 4(3x - 11)
4(3x) + 4(-11)
12x - 44

We now have:
12x - 44 + 23 = 5x - 14
Combine like-terms on the left-hand side of the equation.
-44 + 23 = -21

12x - 21 = 5x - 14
Get x on one side by subtracting 5x from both sides..
12x - 5x = 7x
5x - 5x = 0

7x - 21 = -14
Add 21 to both sides to isolate 7x.
-21 + 21 = 0
-14 + 21 = 7

7x = 7
Divide both sides by 7 to solve for x.
7x / 7 = x
7 / 7 = 1

We are now left with the following solution:
x = 1

I hope this helps!