Question

8(2x – 14) + 13 = 4x – 27

Part A: Write the steps you will use to solve the equation, and explain each step. (6 points)

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

Answer 1

8(2x – 14)+13 = 4x – 27We first multiply what we can.
16x-112+13=4x-27
Then we sum 
16x-99=4x-27
Then we move all the number and separated from x
16x-4x=-27+99
we simplify
12x=72
Then we divide
x=72/12
x= 6

To solve this we put 6 instend of x
8(2(6) – 14) +13 = 4(6) – 27we aolve teh things in parenthesis
8(12-14)+13=24-27
8(-2)+13= 24-27
We just solve
-16+13= -3
-3=-3
So our answer is 6 since -3 does equal to -3

Answer 2

I will write the steps as I solve the equations.

8(2x−14)+13=4x−27

Simplify both sides of the equation.

8(2x−14)+13=4x−27

Simplify:

16x−99=4x−27

Subtract 4 from both sides.

16x−99−4x=4x−27−4x

12x−99=−27

Add 99 to both sides.

12x−99+99=−27+99

12x=72

Divide both sides by 12.

12x/12=72/12

x=6