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

1 answer:

7 0

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!

You might be interested in

What are x and y intercepts of the<br> equation 3y + 2x = 6?

Alik [6]

Answer:

x intercept is (3,0)

y intercept is (0,6)

Step-by-step explanation:

5 0

2 years ago

A school purchases boxes of candy bars.

Cloud [144]

Answer:

$0.20 per candy bar

Step-by-step explanation:

There are 50 candy bars per box. It's costing the school $30/50=$0.60 per candy bar to buy. The school sells each candy bar for $0.80, making a profit of $0.20 per candy bar.

3 0

2 years ago

Sam is a school leader. She wants to decide whether makeup should be allowed in school or not. She

anastassius [24]

Answer:

Following are the sample list can be attached as follows:

Step-by-step explanation:

In the given question some information is missing that is attachment of list which can be attached as follows:

please find the attachment list:

by evaluating the list it will give the answer that the both the samples most want to wear mascara the least want to wear lipstick.