Determine whether the equation below has a one solution, no solutions, or an infinite number of solutions. Afterwards, determine two values of xx that support your conclusion.

Question

3, left bracket, x, plus, 6, right bracket, equals, 3, x, plus, 18
3(x+6)=
3x+18

The equation has
infinite solutions
.
A value of xx that makes the equation true is
, which when substituted into the equation and simplified makes the equation turn into
equals=
.

Answer 1

x=0 is one value that supports the conclusion of infinite solutions. Substituting x=0 into the equation, we get:
3(0+6)=3(0)+18
18=18

Another value that supports the conclusion of infinite solutions is x=1. Substituting x=1 into the equation, we get:
3(1+6)=3(1)+18
21=21