Question

How many solutions can be found for the linear equation? 3(x+4)=3x+4

Answer 1

Hi there! The answer is 0 solutions.

$3(x + 4) = 3x + 4$
First we need to work out the parenthesis (for instance possible by using rainbow technique).

$3x + 12 = 3x + 4$
Now subtract 12.

$3x = 3x - 8$
Now we can see that the right side of the equation is always 8 smaller than the left side of the equation. Because the right is always smaller, this equation cannot be solved. Therefore there are no solutions to this equation. The answer is 0 solutions.