Respuesta :

Final Answer: No Solution. 4(3x + 2) = 4(2x + 3) + 4x has 0 solutions.

Steps/Reasons/Explanations:

Hey there! 8 = 12 would have No Solution because 8 doesn't equal 12. An example of 1 solution is 12 = 12.

Question: How many solutions does 4(3x + 2) = 4(2x + 3) + 4x have?

Step 1: Expand.

[tex]12x + 8 = 8x + 12 + 4x[/tex]

Step 2: Simplify [tex]8x + 12 + 4x[/tex] to [tex]12x + 12[/tex].

[tex]12x + 8 = 12x + 12[/tex]

Step 3: Subtract [tex]12x[/tex] on both sides.

[tex]8 = 12[/tex]

Step 4: Because [tex]8 = 12[/tex] is false, there is no solution.

No Solution

~I hope I helped you :)~

Answer:

Step-by-step explanation:

steps are stated below

step 1

4(3x+2)=4(2x+3) +4x  equation

step 2

4(3x+2)=4(2x+3) +4x  simplify

(4)(3x)+(4)(2)=(4)(2x)+(4)(3)+4x

step 3

12x+8=8x+12+4x  distribute

step 4

12x+8=(8x+4x)+(12)  combine the terms

12x+8=12x+12

step 5

12x+8(-12x)=12x+12(-12x)  subtract

8=12

step 6

8(-8)=12(-8)

0=4

Answer

No solution