Answer:
Infinitely many solutions. The value of x can be any real number.
Step-by-step explanation:
6 times 1/3x = 2x
6 times 1/2 = 3
6 times (1/3x + 1/2) = 2x+3
The left side of the original equation becomes 2x+3. The right side is also 2x+3. Both sides are the same, so we get infinitely many solutions.
We have,
[tex]6(\frac{1}{3}x+\frac{1}{2})=2x+3[/tex]
First distribute 6 through parentheses
[tex]2x+3=2x+3[/tex]
We can see both sides are equal hence for all x the equation will result with tautology (undeniable equality).
The answer is [tex]x \in \mathbb{R}[/tex].
Hope this helps.
