2(3 + 4x) = 8x + 6 How Many solutions?

Question

asked Dec 10, 2021 35.1k views

2 Answers

Amparo · Answer 1 · 2021-12-13T10:10:23+0000

Explanation:

2(3 + 4x) = 8x + 6

rerange terms-

2(3+4x)= 8x+6

2(4x+3)= 8x+6

distribute-

2(4x+3)= 8x+6

8x+6=8x+6

subtract 6 from both sides of the equation-

8x=8x

subtract 8x from both sides of the equation-

8x=8x

8x-8x=8x-8x

simplify-

0=0

result-

0=0

the input is an identity: it is true for all values

Sobhan · Answer 2 · 2021-12-16T19:36:01+0000

Answer:

Infinite number of solutions

Explanation:

$2(3 + 4x) = 8x + 6\\6 + 8x = 8x+6\\8x-8x=6-6\\0=0$

For any value of x, both equations are equal to each other because both sides are identical