Question

An equation is shown below:

8(2x – 14) + 13 = 4x – 27

Part A: Write the steps you will use to solve the equation, and explain each step.

Part B: What value of x makes the equation true?

Answer 1

8(2x – 14) + 13 = 4x – 27
First distribute the 8 on the left hand side:
8*2x=16x
-14*8= -112
So now on the left hand side we have: 16x-112+13
Now we simplify that by adding like terms: 16x-99
So now we have: 16x-99=4x-27
Next we subtract 4x from both sides: 16x-4x-99=4x-4x-27
So we have 12x-99=-27 so we need to add 99 to both sides to get x alone.
23x-99+99= -27+99
23x=72
Divide both sides by 23
X= 3 3/23 or 72/23

Answer 2

@hockeychick23 Can you help me with part b

Answer 3

@Compassionate Can you help me with part B ?

Answer 4

X= 3 3/23 or 72/23 is part B

Answer 5

Thank you

Answer 6

no problem :)