Complete the steps for the single variable linear equation below.
9x+5=10(x+3)-x
1.Solve for x. Be sure to show your work.
2.State whether the single variable linear equation has a solution, no solution, or infinitely many solutions.
3.Explain your answer in step 2.
1. 9x+5=10x+30-x (distribute the 10)
9x+5=9x+30 (combine like terms)
9x=25 (subtract 5 from both sides)
x=25/9 (divide both sides by 9)
2. The single variable linear equation has a solution.
3. The equation has a clear solution for x, as shown in step 1. There is only one variable and it can be solved for, which means there is a unique solution. Therefore, there is not an infinite number of solutions, and there is not a contradictory statement indicating no solution.
I get
0 x= 25
No solution